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</div><h2>HL Paper 2</h2><div class="specification">
<p class="p1">This question is about the thermodynamics of a car engine and the dynamics of the car.</p>
<p class="p1">A car engine consists of four cylinders. In each of the cylinders, a fuel-air mixture explodes to supply power at the appropriate moment in the cycle.</p>
<p class="p1">The diagram models the variation of pressure <em>P </em>with volume <em>V </em>for one cycle of the gas, ABCDA, in one of the cylinders of the engine. The gas in the cylinder has a fixed mass and can be assumed to be ideal.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_09.01.07.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/09"></p>
</div>
<div class="specification">
<p>The car is travelling at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). At this speed, the energy provided by the fuel injected into one cylinder in each cycle is 9200 J. One litre of fuel provides 56 MJ of energy.</p>
</div>
<div class="specification">
<p class="p1">A car is travelling along a straight horizontal road at its maximum speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\). The power output required at the wheels is 0.13 MW.</p>
</div>
<div class="specification">
<p class="p1">A driver moves a car in a horizontal circular path of radius 200 m. Each of the four tyres will not grip the road if the frictional force between a tyre and the road becomes less than 1500 N.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">At point A in the cycle, the fuel-air mixture is at 18 °C. During process AB, the gas is compressed to 0.046 of its original volume and the pressure increases by a factor of 40. Calculate the temperature of the gas at point B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the nature of the change in the gas that takes place during process BC in the cycle.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Process CD is an adiabatic change. Discuss, with reference to the first law of thermodynamics, the change in temperature of the gas in the cylinder during process CD.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain how the diagram can be used to calculate the net work done during one cycle.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the volume of fuel injected into one cylinder during one cycle.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Each of the four cylinders completes a cycle 18 times every second. Calculate the distance the car can travel on one litre of fuel at a speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A car accelerates uniformly along a straight horizontal road from an initial speed of \({\text{12 m}}\,{{\text{s}}^{ - 1}}\) to a final speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\) in a distance of 250 m. The mass of the car is 1200 kg. Determine the rate at which the engine is supplying kinetic energy to the car as it accelerates.</p>
<div class="marks">[4]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Calculate the total resistive force acting on the car when it is travelling at a constant speed of \({\text{56 m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The mass of the car is 1200 kg. The resistive force <em>F </em>is related to the speed <em>v</em> by \(F \propto {v^2}\). Using your answer to (g)(i), determine the maximum theoretical acceleration of the car at a speed of \({\text{28 m}}\,{{\text{s}}^{ - 1}}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) Calculate the maximum speed of the car at which it can continue to move in the circular path. Assume that the radius of the path is the same for each tyre.</p>
<p class="p1">(ii) While the car is travelling around the circle, the people in the car have the sensation that they are being thrown outwards. Outline how Newton’s first law of motion accounts for this sensation.</p>
<div class="marks">[6]</div>
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the energy of an orbiting satellite.</p>
<p class="p1">A space shuttle of mass <em>m </em>is launched in the direction of the Earth’s South Pole.</p>
</div>
<div class="specification">
<p class="p1">The shuttle enters a circular orbit of radius \(R\) around the Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The kinetic energy \({E_{\text{K}}}\) given to the shuttle at its launch is given by the expression</p>
<p class="p1">\[{E_{\text{K}}} = \frac{{7GMm}}{{8{R_{\text{E}}}}}\]</p>
<p class="p1">where \(G\) is the gravitational constant, \(M\) is mass of the Earth and \({R_{\text{E}}}\) is the radius of the Earth. Deduce that the shuttle cannot escape the gravitational field of the Earth.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that the total energy of the shuttle in its orbit is given by \( - \frac{{GMm}}{{2R}}\). Air resistance is negligible.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Using the expression for \({E_{\text{K}}}\) in (a) and your answer to (b)(i), determine \(R\) in terms of \({R_{\text{E}}}\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">In practice, the total energy of the shuttle decreases as it collides with air molecules in the upper atmosphere. Outline what happens to the speed of the shuttle when this occurs.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about escape speed and gravitational effects.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain what is meant by escape speed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Titania is a moon that orbits the planet Uranus. The mass of Titania is 3.5×10<sup>21</sup>kg. The radius of Titania is 800 km.</p>
<p>(i) Use the data to calculate the gravitational potential at the surface of Titania.</p>
<p>(ii) Use your answer to (b)(i) to determine the escape speed for Titania.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An astronaut visiting Titania throws an object away from him with an initial horizontal velocity of 1.8 m s<sup>–1</sup>. The object is 1.5 m above the moon’s surface when it is thrown. The gravitational field strength at the surface of Titania is 0.37 N kg<sup>–1</sup>.</p>
<p>Calculate the distance from the astronaut at which the object first strikes the surface.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about a probe in orbit.</p>
<p>A probe of mass <em>m</em> is in a circular orbit of radius <em>r</em> around a spherical planet of mass <em>M</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State why the work done by the gravitational force during one full revolution of the probe is zero.</p>
<p> </p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Deduce for the probe in orbit that its</p>
<p>(i) speed is \(v = \sqrt {\frac{{GM}}{r}} \).</p>
<p>(ii) total energy is \(E = - \frac{{GMm}}{{2r}}\).</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>It is now required to place the probe in another circular orbit further away from the planet. To do this, the probe’s engines will be fired for a very short time.</p>
<p>State and explain whether the work done on the probe by the engines is positive, negative <strong>or</strong> zero.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A non-uniform electric field, with field lines as shown, exists in a region where there is no gravitational field. X is a point in the electric field. The field lines and X lie in the plane of the paper.</p>
<p><img 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RComUD53PnDhw/TvXt3i39gPX78OM3PzxcBRrt9tfjv/PyV1GrNpbm5Vs1maLgEjhbY29tNUTUqHpGKgDoejYofLwIECFRdQFBR9RUyPgIE0s7OTnr0KAKNeykq6cQ/vO7cuVPILCwspIsXLxX/AJubexJoxD/GYpfDi0BdBcqytJrq1XUFjZtAfgKCivzW3IwJNEYg/uEVj4tEkLG3t3fwPoKPCxcufBRotIrn1p/sdlySENuY1c9nInGPR3Bx69ZmunatkxYXF1PkZXgRIECgSgKCiiqthrEQIDA2gQg0dnf3iseoIvjY2bld/P7gwV564YW54vGpeIyqzN/wONXY6J1oQgJxH0feRa/XK66gqd6EoJ2WAIEzCQgqzsTmIAIE6iwQ/8tv/APtzp2dg8ep4rNh+Rsep6rzajdz7PFIYOxeKEvbzPU1KwJ1FBBU1HHVjJkAgYkJ9OdvPAk+Hh6Zv6G/wMSWwolPIBA7ctHzQlO9E2D5CgECExUQVEyU18kJEGiKwOH8jXicKj4blr8RlamUw23K6tdjHlExKnYvIhiOnItut6tCWj2WzigJNEJAUNGIZTQJAgRmKdCfvxHVqaIcbuRzyN+Y5arke+24HyPvIvKFVle7+UKYOQECUxUQVEyV28UIEMhN4KT5G8rh5nZnmC8BAgSaJSCoaNZ6mg0BAjUSiPyN+F+Vy3K40YtjUP8N5XBrtKiGSoAAgUwFhgUV5zP1MG0CBAhMTeBJknf7meuV+RvxGFW8j+fkh+VvLCy0i0Z/k87fiFKmEfx4nOaZ5fIBAQIECBwhcG5/f3+//+/Doo/+73hPgAABApMVKPM3ohzuw4fRZXxw/kar1UrRh2Nc/TfiMa7XX18tJtfr3ZQAPNlldnYCBAjUTmBYrCCoqN1SGjABArkLxD/8I+iIilSRMB7v47PD/TdGyd9YW3uzaMDW7b6elpdXcic3fwIECBD4SEBQ4VYgQIBABgLH5W9ECdwnuxvz6eLFS+mo/htxrm53tSiZu77+TvH4VQaEpkiAAAECRwgIKo7A8ScCBAg0XaB8nKrM3xjUfyMeo4rypP35G5HjEYFFfD8Ci+iL4EWAAAEC+QoIKvJdezMnQIDAkQL95XCH5W/87u9+Jm1vb6Uvf/nL6U//dDV97nOfO/Kc/kiAAAECzRQQVDRzXc2KAAECExWIR6Du3v2/6e/+7tvpRz/6Ufrwww/T888/n37xi1+kKIFbdhQfJX9johNwcgIECBAYq8CwoEJJ2bEyOxkBAgSaIRC7F1FedmtrK0VfjXjs6bXXvnHw+FNZDjceq4oStOX3+vtvnCZ/oxlqZkGAAIF8BVR/ynftzZwAAQJPCfQHEvGHTqdTJHKfNo9iUP7G7u5eevBgL73wwlxR/nZQ/sZTg/ELAQIECFRSYNhOhaCikstlUAQIEJi+QCRkX7x4MS0uLhUVnyYxgkH5G/HZ4XK4MY5x9t+YxFyckwABAjkKCCpyXHVzJkCAQI0EIn8jHrXq77/R/zhVlMCNjuLyN2q0qIZKgEDjBAQVjVtSEyJAgEAeAofzN2JnIx6xiuDjwoULHwUaJ++/kYeaWRIgQGAyAoKKybg6KwECBAjMUOC0+Rut1lxRsWqGQ3ZpAgQI1FpAUFHr5TN4AgQIEDitQH/+xu5uVKnaTUflb8SjVZHL4UWAAAECwwUEFcNt/IUAAQIEMhPoz994Enw8TEflb7Tb7cyETJcAAQKDBQQVg118SoAAAQIEDgQO52/s7NxO8dmw/I2y+d/BCbwhQIBAwwUEFQ1fYNMjQIAAgckK9OdvxONU9+7dTUf135C/Mdn1cHYCBGYjIKiYjburEiBAgEAGAifN31AON4ObwRQJNFxAUNHwBTY9AgQIEKimQORvxC7H3t5ekSgevTgG5W/Mz8+n6MUhf6Oa62hUBAg8ERgWVJwHRIAAAQIECExO4EmQ8Gyid5m/EY9RxfubN3tD8zcWFtpFZaqoUOVFgACBKgqc29/f3+8f2LDoo/873hMgQIAAAQKTEyjzN+7c2UkPH0aX8cH5G61WK3U6Hb03JrcUzkyAwCGBYbGCnYpDUH4lQIAAAQKzFoiqUvEz6FGoyN+IoCMqUpW5HKur3VkP2fUJEMhcwE5F5jeA6RMgQIAAAQIECBA4qcCwnYrnTnoC3yNAgAABAgQIECBAgMAgAUHFIBWfESBAgAABAgQIECBwYgFBxYmpfJEAAQIECBAgQIAAgUECgopBKj4jQIBAhQT+7M/+XYpnWN999z8PHNUf/dG/SC+/fCXdv39/4N+P+jASfqOUabe7WvzE+/jMiwABAgQInEZAovZptHyXAAECMxKIwOGHP/w/6Zvf/Jv0+7//BwejiIDjm9/87+kv/uI/pj/5k3998Plxb6Ivwje+8Wr6/ve//8xXz58/n1566aXU691UqvQZHR8QIEAgbwGJ2nmvv9kTIFBzgXff/at06dKl9Pbbbx/MJIKJ+Ilg4rQBxbVr/3xgQBEn//Wvf12UK/3DP/xiUbL04ILeECBAgACBIQIefxoC42MCBAhUSeDy5cvptde+UexWxO5EPOr09tv/Ib388j8tdilOM9br1zvpgw8+OPaQX/3qV+nrX//qsd/zBQIECBAgIKhwDxAgQKAmAq+++lrx6NOT3Yl/VYw6djBO89rc3EgffPDgxIf8/Oc/T3/5l//pxN/3RQIECBDIU0BQkee6mzUBAjUViCAidi1ipyJ2LuL9aV5//df/Lf32t7898SHxKFQc40WAAAECBI4SEFQcpeNvBAgQqJjA3//9/zio8vT++++fenT37t079TEneVTq1Cd1AAECBAg0SkBQ0ajlNBkCBJos0J9HEYnZ//AP7w8tMzvMIfIkvAgQIECAwLgFzo/7hM5HgAABApMRePXVf1ucuHwE6oc//OFHydovP1Vm9qirX7hwIT1+/Pior/gbAQIECBA4tYCdilOTOYAAAQLTF4iKT9Gn4o03/v1BHsUbb7xRDCT+dtLXiy++eNKvHnzvLMccHOwNAQIECGQhIKjIYplNkgCBOgsM60cRTfAiyIjHok4aWLzxxp+n5547+f/pj+9GQrgXAQIECBA4SuDk/5/lqLP4GwECBAhMRCB2J47qR9FfZjaCj+Ne7XY7/d7v/bPjvnbw989+9rNpcXHp4HdvCBAgQIDAIIFz+/v7+/1/GNZ6u/873hMgQIBAfQUePXqUoqP2T3/60/Sb3/xm4ETOnz+fPvOZz6Tt7f+ZLl68OPA7PiRAgACB/ASGxQp2KvK7F8yYAIHMBSJIuHPnB+lrX/t6+uQnP5k+8YlPHIjE+/j56le/JqA4UPGGAAECBI4TsFNxnJC/EyBAoOECOzs76d69uyl2MBYW2unKlSt2Jxq+5qZHgACBswoM26lQUvasoo4jQIBAQwQizyJ+vAgQIECAwFkFBBVnlXMcAQIECBCYkUDsKt29ezft7e0Wu0qdzvUZjcRlCRAg8ERAUOFOIECAAAECFRUoA4d79+6l3d3dIoiIz6KB4fz8fJqba6XFxcWKjt6wCBDISUBQkdNqmysBAgQIVE4gdht2d/fSnTs76eHDh0V+S/z+4MFeeuGFudRqzaX5+StFrkuU943fI5jwIkCAQJUEBBVVWg1jIUCAAIFGCpSPK5UJ8Ts7t4vE+NiBuHDhQhEwRKDQarXS6urrxSNNkTDvRYAAgboICCrqslLGSYAAAQKVF4hKWrHzsLe3V+Q8PHr0MN25c6cY98LCQrp48VIRQCwvrxTvJchXfkkNkACBEwoIKk4I5WsECBAgQCAEjstziD4g7fbV1Ol0iseUlOh13xAgkIOAoCKHVTZHAgQIEDiVQJnnEI8rRYL0k//KczgVoi8TIJCVgKAiq+U2WQIECBAoBco8h/JxJXkOpYz/EiBA4PQCgorTmzmCAAECBGokEHkOkdsQSdHx6NKwPIeorBTJ0vIcarS4hkqAQGUEBBWVWQoDIUCAAIGzCjwJFh4VZVkH9XMo8xwiYCjLs8ZnXgQIECAwHgFBxXgcnYUAAQIEJixw0jyHKMuqn8OEF8PpCRAgcEhAUHEIxK8ECBAgMDuBw3kO/ZWWDvdziLKs8biSfg6zWy9XJkCAQCkgqCgl/JcAAQKZC7zzznqan59Pnc71iUv05zmUjysN6udQlmWV5zDxJXEBAgQIjCQgqBiJz8EECBBojkDkGERg0e2uFoFF/IN+lACjP8/h4cNIlL5bJEo/fvy4CF7KPIfYafC4UnPuIzMhQCBPgXP7+/v7/VO/fHku3b+/1/+R9wQIECCQkUDkLmxtbaXNzY2iR0PZyC0CjMPJzf15DvHoUpRl3d19tp/DpUuX0sJCuzje40oZ3UymSoBA4wSGxQqCisYttQkRIEBgfAIRNHzrW99Kf/u3f5N+8pOfpBdffDG9+OJnU3weJVoP5znE41MXL15SlnV8S+BMBAgQqJTAsKDC40+VWiaDIUCAwOwEBuU5xCNM8bjSSy+9lM6fP5+ef/75VOY5xI7D4Z2L2Y3elQkQIEBglgKCilnquzYBAgSmLDAoz+Hw40rxuFOZ5/CpT30qvffef0lbW99J7777VyPlWEx5qi5HgAABAlMUEFRMEdulCBAgMA2BQXkOke/Q/7hSNICLPIfV1deH5jnEzsUrr/yb1GrNpZ2d/21XYhqL5xoECBCoqYCgoqYLZ9gECOQtMKifw6NHD1N/Wdbo4RCN4KKfw2nzHKIKVK/3Xup2Xy+Oz1vb7AkQIEDgOAFBxXFC/k6AAIEZCvQ3fyv7OZR5DpEUXTZ/G1eeQ5z79ddXixlvbNzSWG6Ga+/SBAgQqJOAoKJOq2WsBAg0UqB8XOnOnZ1U9nM4Ks8hHkeKYGISr5s3e0XexOpqdxKnd04CBAgQaKiAkrINXVjTIkCgWgLl40rRAK7s53A4z6F8XEk/h2qtndEQIECAwMcCSsp+bOEdAQIEJiYQyc2x87C3t1d0jz6c5xC5DVFZ6Sx5DhMbtBMTIECAAIERBTz+NCKgwwkQyE/guDyH6N1QdqEucx70c8jvPpnGjKPUb7yi27kXAQIEZikgqJilvmsTIFBZgTLPIR5XigTpJ//dSw8e7KUXXpgryqxGWdayn8Mk8xwqi2RgMxGIx+Yi92VjY6O4/tra2kzG4aIECBDoFxBU9Gt4T4BAVgJlnkP5uNLOzu0i36G/n0OZ53BUP4es0Ex2ZgLxaN3m5ka6dWszXbvWSRFM2KGY2XK4MAEChwQEFYdA/EqAQPME4h9jkdsQwUI8ujQsz2FxcamoqtRut5uHYEa1FIjANx5xWl9fL8a/tLSUbt/emVj1r1oiGTQBApUQEFRUYhkMggCBUQWeBAuPUpRlHdTPocxziIChfGxJnsOo6o6flEDcz/GIUwQU8Yhdt9tNEfR6ESBAoKoCgoqqroxxESDwjMBJ8xyii3T8A0yewzOEPqi4QDzeFMFEBMZxD29tbduVqPiaGR4BAk8EBBXuBAIEKiVwOM+hv9LShQsXiv/VtsxziLKsZXWlSk3CYAicQiCC5V6vV+RLREAc93XkSthJOwWirxIgMHMBQcXMl8AACOQp0J/nUD6udOfOnQJjYWEhlf0cOp2OPIc8b5HGzzoebYpdiQicI4jY2LhVBM2Nn7gJEiDQSAFBRSOX1aQIVFsgAoq33nqz+F9io5+DsqzVXi+jG59A7Epsbm4elINdWVlJvd5/tSsxPmJnIkBgRgLn9vf39/uvPaz1dv93vCdAgAABAgROLhCBdOxKbG9vpRs3Fot8CVXGTu7nmwQIVEdgWKxgp6I6a2QkBAgQINAggcgPisTryJeIV5SDjd4SkQfkRYAAgaYJCCqatqLmQ4AAAQIzFSjLwWpSN9NlcHECBKYsIKiYMrjLESBAgEDzBMomdf3lYDWpa946mxEBAsMFBBXDbfyFAAECBAgcKRCJ19HtumxSF+VgNak7kswfCRBoqICgoqELa1oECBAgMDmByJWIH+VgJ2fszAQI1EtAUOMT6c0AAAyeSURBVFGv9TJaAgQIEJiRQFkOttd7L5VN6no9TepmtBwuS4BAxQQEFRVbEMMhQIAAgWoJxKNN0VuiLAcbfSWUg63WGhkNAQKzFxBUzH4NjIAAAQIEKiYQideRdL2xsVGMLJrUra+/o0ldxdbJcAgQqI6AoKI6a2EkBAgQIDBjgWhSF7kSysHOeCFcngCB2gkIKmq3ZAZMgAABAuMUKMvBRhWneEWTOuVgxynsXAQI5CAgqMhhlc2RAAECBJ4RKJvUleVgu92ucrDPKPmAAAECJxMQVJzMybcIECBAoCEC8XhTf5O6ra3tNDfXasjsTIMAAQKzERBUzMbdVQkQIEBgigJRDrbX6xX5EmU52E5HOdgpLoFLESDQcAFBRcMX2PQIECCQs0A82hS7EprU5XwXmDsBAtMQEFRMQ9k1CBAgQGBqAmWTuv5ysNFb4uLFi1MbgwsRIEAgNwFBRW4rbr4ECBBoqECUg41dibJJXfSV0KSuoYttWgQIVE5AUFG5JTEgAgQIEDipQJSDjcTryJeIV5SDXVtbk3h9UkDfI0CAwJgEBBVjgnQaAgQIEJieQFkOVpO66Zm7EgECBI4SEFQcpeNvBAgQIFAZgbJJXX85WE3qKrM8BkKAQOYCgorMbwDTJ0CAQNUFIvE6ul2XTeqWl1c0qav6ohkfAQLZCQgqsltyEyZAgEA9BCJXIn6Ug63HehklAQJ5Cwgq8l5/sydAgEClBMpysL3ee6lsUtfraVJXqUUyGAIECAwQEFQMQPERAQIECExXIB5t2tzcPCgHG30llIOd7hq4GgECBEYREFSMoudYAgQIEDizQCReR9J1f5O66C2hSd2ZSR1IgACBmQkIKmZG78IECBDIUyCa1EWuhHKwea6/WRMg0EwBQUUz19WsCBAgUCmBshxsVHGKVzSpUw62UktkMAQIEBhJQFAxEp+DCRAgQOAogbJJXVkOttvtKgd7FJi/ESBAoKYCgoqaLpxhEyBAoMoC8XhTf5O6ra3tNDfXqvKQjY0AAQIERhAQVIyA51ACBAgQ+FggysH2er0iX6IsB9vpKAf7sZB3BAgQaK6AoKK5a2tmBAgQmIpAPNoUuxKa1E2F20UIECBQSQFBRSWXxaAIECBQbYGySV1/OdjoLaEcbLXXzegIECAwKQFBxaRknZcAAQI1EojqTO32F9Ljx4/T/Pz8QXAQeRDxKFP5iqDhe9/7Xnr//f+VbtxYTNFXQpO6Usd/CRAgkK+AoCLftTdzAgQIHAhEsHD37v8rfo8+EuXr3r276Wc/+1mK//7gBz9Iv/zlL9MXv/hF5WBLIP8lQIAAgUJAUOFGIECAAIGnBMqdh8iRiJ9oUvelL30pffrT/yQtLCwUuxNPHeAXAgQIEMhe4LnsBQAQIECAwIFAPAYV5WCvX7+WlpZuFI9BRZO63/mdT6e5uRcEFAdS3hAgQIBAv4Cdin4N7wkQIJCpQCReR7frsknd8vLKQZO6bne1ePxpY+NWpjqmTYAAAQLHCQgqjhPydwIECDRYIHYl4mdYOdj4WwQa0bxOZacG3wimRoAAgREFBBUjAjqcAAECdRMoy8H2eu8VlZ1iV6LXe7ZJXQQUa2tvptih0A27bqtsvAQIEJiugKBiut6uRoAAgZkJxI7D5uZm2t7eKsrBRl+JMin78KBi5yICiigZe+XKlcN/9jsBAgQIEHhKQFDxFIdfCBAg0CyBSLyObtf9TeoiUDjuUaa33nozra29lTqd680CMRsCBAgQmIjAuf39/f3+M1++PJfu39/r/8h7AgQIEKiZQPSaiMeXohzstWudtLi4KECo2RoaLgECBKooMCxWsFNRxdUyJgIECJxBIHYl4hGnqOIUr6WlJU3qzuDoEAIECBA4vYCg4vRmjiBAgEClBCL/IR5xKsvBdrvdg3KwlRqowRAgQIBAYwUEFY1dWhMjQKDpAvF4UwQTu7u7RRARZV9VaWr6qpsfAQIEqikgqKjmuhgVAQIEBgpEOdher1fkS7RarRTlYCOZ+rjE64En8yEBAgQIEBiTgKBiTJBOQ4AAgUkKxKNNsSsxrEndJK/t3AQIECBA4DgBQcVxQv5OgACBGQmUTer6y8FGbwm7EjNaEJclQIAAgaECgoqhNP5AgACB2QhEOdjYlSib1EVfiWFN6mYzQlclQIAAAQJPCwgqnvbwGwECBGYiEOVgI/E68iXiFeVg19bWJF7PZDVclAABAgROKyCoOK2Y7xMgQGCMAmU52LJJXQQSuliPEdipCBAgQGAqAoKKqTC7CAECBD4WKJvU9ZeDvX17x67Ex0TeESBAgEDNBAQVNVswwyVAoL4CkXgd3a7LJnVRDnZxcam+EzJyAgQIECDwkYCgwq1AgACBCQtErkT8KAc7YWinJ0CAAIGZCQgqZkbvwgQINFmgLAfb672XyiZ1vZ4mdU1ec3MjQIBAzgKCipxX39wJEBi7QDzatLm5eVAONvpKKAc7dmYnJECAAIGKCQgqKrYghkOAQP0EIvE6kq77m9RFbwlN6uq3lkZMgAABAmcTEFSczc1RBAgQSNGkLnIllIN1MxAgQIBA7gKCitzvAPMnQOBUAmU52KjiFK9oUqcc7KkIfZkAAQIEGiggqGjgopoSAQLjFyib1JXlYLvdrnKw42d2RgIECBCoqYCgoqYLZ9gECExHIB5v6m9St7W1rUnddOhdhQABAgRqJCCoqNFiGSoBAtMRiHKwvV6vyJcoy8F2OsrBTkffVQgQIECgjgKCijqumjETIDARgXi0KXYlNKmbCK+TEiBAgECDBQQVDV5cUyNA4HiBskldfznY6C2hHOzxdr5BgAABAgRKAUFFKeG/BAhkJRDlYGNXYnt7K924sZiir4QmdVndAiZLgAABAmMUEFSMEdOpCBCotkCUg43E68iXiFeUg11bW5N4Xe1lMzoCBAgQqIGAoKIGi2SIBAiMJlCWg9WkbjRHRxMgQIAAgWECgophMj4nQKDWAmWTuv5ysJrU1XpJDZ4AAQIEKiwgqKjw4hgaAQKnF4jE6+h2XTapW15e0aTu9IyOIECAAAECpxIQVJyKy5cJEKiqQORKxI9ysFVdIeMiQIAAgSYLCCqavLrmRqDhAmU52F7vvVQ2qev1NKlr+LKbHgECBAhUUEBQUcFFMSQCBI4WiEebNjc3D8rBRl8J5WCPNvNXAgQIECAwSQFBxSR1nZsAgbEKxONNkS8Rr5WVlaK3hCZ1YyV2MgIECBAgcCYBQcWZ2BxEgMAsBCKAiL4Snc71WVzeNQkQIECAAIEhAoKKITA+JkCgegKCieqtiRERIECAAIEQeA4DAQIECBAgQIAAAQIERhEQVIyi51gCBAgQIECAAAECBOxUuAcIECBAgAABAgQIEBhNwE7FaH6OJkCAAAECBAgQIJC9gKAi+1sAAAECBAgQIECAAIHRBAQVo/k5mgABAgQIECBAgED2AoKK7G8BAAQIECBAgAABAgRGExBUjObnaAIECBAgQIAAAQLZCwgqsr8FABAgQIAAAQIECBAYTUBQMZqfowkQIECAAAECBAhkLyCoyP4WAECAAAECBAgQIEBgNAFBxWh+jiZAgAABAgQIECCQvYCgIvtbAAABAgQIECBAgACB0QQEFaP5OZoAAQIECBAgQIBA9gKCiuxvAQAECBAgQIAAAQIERhMQVIzm52gCBAgQIECAAAEC2QsIKrK/BQAQIECAAAECBAgQGE1AUDGan6MJECBAgAABAgQIZC8gqMj+FgBAgAABAgQIECBAYDQBQcVofo4mQIAAAQIECBAgkL2AoCL7WwAAAQIECBAgQIAAgdEEBBWj+TmaAAECBAgQIECAQPYCgorsbwEABAgQIECAAAECBEYTEFSM5udoAgQIECBAgAABAtkLCCqyvwUAECBAgAABAgQIEBhNQFAxmp+jCRAgQIAAAQIECGQvIKjI/hYAQIAAAQIECBAgQGA0AUHFaH6OJkCAAAECBAgQIJC9gKAi+1sAAAECBAgQIECAAIHRBAQVo/k5mgABAgQIECBAgED2AoKK7G8BAAQIECBAgAABAgRGExBUjObnaAIECBAgQIAAAQLZCwgqsr8FABAgQIAAAQIECBAYTUBQMZqfowkQIECAAAECBAhkLyCoyP4WAECAAAECBAgQIEBgNAFBxWh+jiZAgAABAgQIECCQvYCgIvtbAAABAgQIECBAgACB0QTO7e/v75enuHx5rnzrvwQIECBAgAABAgQIEBgocP/+3lOfPxVUPPUXvxAgQIAAAQIECBAgQOAEAh5/OgGSrxAgQIAAAQIECBAgMFzg/wNP/lVwB8JGLAAAAABJRU5ErkJggg=="></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline what is meant by electric field strength.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is placed at X and released from rest. Draw, on the diagram, the direction of the force acting on the electron due to the field.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron is replaced by a proton which is also released from rest at X. Compare, without calculation, the motion of the electron with the motion of the proton after release. You may assume that no frictional forces act on the electron or the proton.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about collisions. <strong>Part 2 </strong>is about the gravitational field of Mars.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Collisions</p>
</div>
<div class="specification">
<p class="p1">The experiment is repeated with the clay block placed at the edge of the table so that it is fired away from the table. The initial speed of the clay block is \({\text{4.3 m}}\,{{\text{s}}^{ - 1}}\) horizontally. The table surface is 0.85 m above the ground.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.36.24.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B4.Part1.c"></p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Gravitational field of Mars</p>
</div>
<div class="specification">
<p class="p1">The graph shows the variation with distance \(r\) from the centre of Mars of the gravitational potential \(V\). \(R\) is the radius of Mars which is 3.3 Mm. (Values of \(V\) for \(r < R\) are not shown.)</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.42.05.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B4.Part2.b"></p>
<p class="p1">A rocket of mass \(1.2 \times {10^4}{\text{ kg}}\) lifts off from the surface of Mars. Use the graph to</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Ignoring air resistance, calculate the horizontal distance travelled by the clay block before it strikes the ground.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The diagram in (c) shows the path of the clay block neglecting air resistance. On the diagram, draw the approximate shape of the path that the clay block will take assuming that air resistance acts on the clay block.</p>
<div class="marks">[7]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>gravitational potential energy </em>of a mass at a point.</p>
<div class="marks">[1]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>calculate the change in gravitational potential energy of the rocket at a distance 4<em>R </em>from the centre of Mars.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>show that the magnitude of the gravitational field strength at a distance 4<em>R </em>from the centre of Mars is \({\text{0.23 N}}\,{\text{k}}{{\text{g}}^{ - 1}}\).</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<br><hr><br><div class="specification">
<p>Hydrogen atoms in an ultraviolet (UV) lamp make transitions from the first excited state to the ground state. Photons are emitted and are incident on a photoelectric surface as shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_12.49.40.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/08"></p>
</div>
<div class="specification">
<p>The photons cause the emission of electrons from the photoelectric surface. The work function of the photoelectric surface is 5.1 eV.</p>
</div>
<div class="specification">
<p>The electric potential of the photoelectric surface is 0 V. The variable voltage is adjusted so that the collecting plate is at –1.2 V.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the energy of photons from the UV lamp is about 10 eV.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in J, the maximum kinetic energy of the emitted electrons.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest, with reference to conservation of energy, how the variable voltage source can be used to stop all emitted electrons from reaching the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The variable voltage can be adjusted so that no electrons reach the collecting plate. Write down the minimum value of the voltage for which no electrons reach the collecting plate.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw and label the equipotential lines at –0.4 V and –0.8 V.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An electron is emitted from the photoelectric surface with kinetic energy 2.1 eV. Calculate the speed of the electron at the collecting plate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about motion in a magnetic field.</p>
<p>An electron, that has been accelerated from rest by a potential difference of 250 V, enters a region of magnetic field of strength 0.12 T that is directed into the plane of the page.</p>
<p style="text-align: center;"><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron’s path while in the region of magnetic field is a quarter circle. Show that the</p>
<p>time the electron spends in the region of magnetic field is 7.5×10<sup>−11</sup>s.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A square loop of conducting wire is placed near a straight wire carrying a constant current <em>I</em>. The wire is in the same plane as the loop.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWAAAAEVCAYAAADejj8+AAAVCUlEQVR4Ae3dD2yV133G8cceighjXktQYaRJ7MaExZAAHjR0ICALXQG1sUuaLGkQoQ1UyRbUsaxoK3ZIlqhKihZIiLQpguEQGrZmJHhZxVagNgiqqmDzNwVsJyyExmwlBIwFDQ0+03vNdQy8l2OMz3uP7/leCfn69bm/c87nd/345d7XkGeMMeKGAAIIIJC4QH7iMzIhAggggEBKIDaA8/Ly4EEAAQQQcCwQG8CO56Q8AggggIAkApinAQIIIJAlAQI4S/BMiwACCBDAPAcQQACBLAkQwFmCZ1oEEECAAOY5gAACCGRJgADOEjzTIoAAAgQwzwEEEEAgSwIEcJbgmRYBBBAggHkOIIAAAlkSIICzBM+0CCCAAAHMcwABBBDIkgABnCV4pkUAAQQIYJ4DCCCAQJYECOAswTMtAgggQADzHEAAAQSyJEAAZwmeaREIR6BFjbWva+mcMlXWHgtn213YKQHcBSSGIIBAdwXa1FL7j7pn9gK9tPFEd4vk7OMI4JxtLRtDwAeBfBVMfkq7NizSbT4sx7M1EMCeNYTlIIBAOAIEcDi9ZqcIIOCZAAHsWUNYDgLhCERvzlWpctpwFRcWqbhkrpZualTrBQCWMW1HVf/Wv6hy2rf0Sv0uVVeUtdeaVqHV9UfVdkEt/z4hgP3rCStCIACBs/pg3SI9sLqPZr6+V03/s1vrfzBEGx6epb+pevt8CNvG/FaNq/5W9817Wmv2H9G2rS264x+q1fTuNi3/4l49OfM5vfXBWa8tCWCv28PiEMhRgZaf65++X69pM6dqWP8ohgo0tHy+nv7uEP3shz/WjpY2yTrmGg2dvUr1VbPUT4M0ftoXNTgqlT9Ekx+frwf0U1X99JDXZ8EEcI4+v9kWAv4KtKmlvkbVp29Q8fX9Oy2zQMWjR6jf6Vptqj/WhTHHOz32orv9/0jFQ6V3mpoveknjonFZ/pQAznIDmB6BcAXeV9OvL3zF91KLroy59FG95QgB3Fs6xToRyBmBfBWU3qmyfsdUv/PQpWeo/SbrrtKBXRgzILNIa7OaGgeqbMoIFWQelfWvEMBZbwELQCBAgYJSzVwwUe+/8IyeW3ewPYRb9+vN1ds14QcPa2JBvtSVMR1072jb+p06Gl320HZUO6p+pPWT5uvRiQM7Rvh4hwD2sSusCYGcEYh+FXmRRn35Ke3VYa2ZPUlfrzqoNhVo2OzntHbFFP3v96dqVHQZ2r1rpJkv6IflN6o9mLoyJg1VqJLP79YTI4pU/IWv6+Vz92nN4rs1xPOEyzPGmPQW0h/z8vIUczj9ZT4igAACnghEAf+UJsx+R49vWK6Hhvb1ZF1dW4bnPx+6tglGIYAAAr1RgADujV1jzQggkBMCvASRE21kEwiEKHBMtRX3aM7qw+c3f6MeqFqrpyf7/cZb504RwJ01uI8AAggkKMBLEAliMxUCCCDQWYAA7qzBfQQQQCBBAQI4QWymQgABBDoL9On8CfcRQCB3BKLr+bn5IxD3uxUEsD/9YSUI9LhA3Dd9j09CQatAph+GvARhpWMAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFIVAQQQsAoQwFYiBiCAAAJuBAhgN65URQABBKwCBLCViAEIIICAGwEC2I0rVRFAAAGrAAFsJWIAAggg4EaAAHbjSlUEEEDAKkAAW4kYgAACCLgRIIDduFI1JwSOqHpOqYoLi1RcOEmVtcfad9V2UK+UDVfxtGWqb23LiZ2yiewIEMDZcWfWXiHweZUt36H6qlnqp8Nav/OwPonWnV+kr8z/poa9d0wt5G+v6KSviySAfe0M6/JEIF8FpXeqrJ904u3Daj8Hvkafu/4m3TT3qxpTwLeQJ43qlcvg2dMr28aiExUoKNaYP/2sVHdIH0SnwG2H9daLB/SVvxip/okuhMlyTYAAzrWOsh8HAn31h4P/4Hzds/rgP9Zozz1/qa8NucbBXJQMSaBPSJtlrwh0T6CvCq77femjBu3d/O/acuqrml8+RJy9dE+TR30qwHPoUwvuIZBBoK+GFBVL2qIfbxmk+x8czksPGaQ4fGUCBPCVeTE6WIHf07CHXtSKRXdpMN81wT4LenrjecYYc3HRvLw8xRy+eBifI4CAxwJ8H/vTnEy94Ge5Pz1iJd0UOH78eDcfycMQyK4AAZxdf2a/CoFt27apvLxctbW1V1GFhyKQPQECOHv2zNxNgXTwTpgwQdXV1d2swsMQyL4Al6FlvwesoIsCUfAuXryY0O2iF8P8FyCA/e9R8CtsaGjQggULCN7gnwm5B0AA515Pc2ZHUfAuX748ddabM5tiIwh0EuAytE4Y3PVHYNeuXRo9erQ/C8rCSq72UtBMlz5lYSvBT5mpF7wJF/xTw0+AUaNG6cMPP9SyZcusC1y7dm3quvUosHLpj3XjDOj1AgRwr29h7m5gwIABeuyxx1JBHIXs2LFjc3ez7CxIAQI4yLb3rk1HQTxjxgxt3rxZBHHv6h2rvbwAAXx5H77qkcC1115LEHvUD5Zy9QK8CXf1hlTIksCZM2e0fv16DRo0SOPHj8/SKvydNtMbP/6uOHdXlqkXBHDu9pydBS6Q6Zs+cJasbD9TL3gJIivtYFIEEEBA/KP+PAkQQACBbAlwBpwteeZFAIHgBQjg4J8CACCAQLYEMgZw9A4zNwQQQAABdwKXBHA6eKPLe7ghgAACCLgTuCSA08H77LPPupuVyggggAACF14FEZ39poN3+/btiv4BbG4IIIAAAm4ELjgDjs5+o+BN36L/fYAbAggggIAbgY7fhIvOfidNmnRBAEdTbt26lV/zdGNPVQScCmT67Sunk1I8ViBTLzrOgFesWHFJ+EaVOAuO9eQgAgggcNUCqTPg48eP67rrrstYLOSz4E/ql2jcjBd1orPOlCXaurxcgzsf4z4CnglkOuvybJlBLCdTL1JnwK+99tplEXLyLLjtiLZsOaS2y+5c6lM6Xzve/S9VjuwnqVSPvbFTTYSvRY0vI4BAVwTyo7PfefPmXXZsdXV1jl0R0abWXdX613fPXnbfHV9sbVZT42n1mzlP3y79TMdh7iCAAAJXI5BvO/tNF8+ps+DWOi1fuELN6c1ZPn7StFPrT39W48YUq8Ayli8jgAACXRXIHzJkSOq/eYn+q5f0n+jB6fvpj7NmzYqp2aLGTcv0nZIiFRcW6fY5/6wdR89KbQf1Stnw1LHisio1Rn/Pb6lVZXpcRa1aUtVa1Fj7upbOKVPlpj3a8eJc3V7yqF45eCTD8ehRbWpt3KClc77UXr9krpZualRrql70tS16c8mjurdqv1oa16lyWrSOL+k7VW+3j2ndrqX3ztZL+z/S3ien6pbCSaqsPRazt/Sh3+rQnjqdUInGDx+YPshHBBBA4OoFTMxNiv5zWdvtI1P3/P1m+hMbTfM5Y8y598y6R8aZm+9eaRqiz81vTM3CiZ0+j8YcMFV3l5jbFtaYk+acOVnzhLntpkJz803jzNwXfm6aT/7SLJk6w/zdwtkxx+83S+o+NKfqXjYV0djUHOfMqQOvmrm3TjQVNb8x5mSNqbg1qldipj+y2Lz6y2ZzrmOeB01Vw5n2TaXWMdqUrzxgUmUut9Xza/50X5cbzNcQ8Eega9/H/qw3l1eSqRd9uh3hLbv05qpb9L3Nd2pw6q28wbrj2w/pz545pVOn26T+tsr5Kpi8SFurpAmzazXo9qEaXDBQf71+beos9++nPHXR8TWSjqm2YrXWrD6sNc9fWL/fxn363uTJevoXK6Vxf6V9d3xN3xw7OPWrfv2vL9LNqlXTr1uloX0vfKDts//br227o9d/CzWo46I924P4OgIIIGAX6GYAt6mlvkbVH0t3dcxxjQaPfUQvV3cc6Pk7Lfu06Y0bVLnhv/XQlQZpt1bTppYDO/UL3aiyKSN4/bdbhjwIAQQyCVzdOd3pfdrV1P5qbqYJev74Tq3b9p718rGemfe46jfW6rRGaswfc/VDz5hSBQEE0gLdDOB8tf+1vl4vLVyi6sZOIdz6tmrrj6fr9+zHghG6a8ZA7X1ygRa9ul1HOy7iPaHdtXvOv7HXg1OmzrgPSyNLVfK5bv5loQeXQykEEMgtgW4GsJQ/tFyV3y2V9q/S418e2X5FQmGRiu/9mQpuic4W++v64hukxt36VerKiKOq/8k2NZ2VTq/+lkrTV0dckecAjZnxDQ3THq2pvE8TvtB+9UVx4cOqKbjxCl8i+FjvNDWrtXWP/rP2SMwZdYsOvvFvqj4tfWby7SrqttQVbZDBCCAQkkDcO4+Z3rG7ZOy5ZlO3aqGZnrqSocRMX7jS1DSc/HTYqX2m6uFx7VclLHzTNJz8lam6e4apWPkTU9d80jSsfNDcfP6xfz51mvlG6qqEMxmOp8t+bJrrfmQqppa0P/bWOWbJxgZzKrrIomGlKU/Vi66EKDS3Ldxo3u+40qL96oj2Kx8+Ns01z5jp0dUS6as40uWNMb+re978Sac6qTWOet7U/a7TIO4i4LlAl7+PPd9HLiwvUy86/jW0zj90Mv3ecucx3EcAAb8F+D72pz+ZesFfrP3pEStBAIHABAjgwBrOdhFAwB8BAtifXrASBBAITIAADqzhbBcBBPwRIID96QUrQQCBwAQI4MAaznYRQMAfAQLYn16wEgQQCEyAAA6s4WwXAQT8ESCA/ekFK0EAgcAECODAGs52EUDAHwEC2J9esBIEEAhMgAAOrOFsFwEE/BEggP3pBStBAIHABAjgwBrOdhFAwB8BAtifXrASBBAITIAADqzhbBcBBPwRIID96QUrQQCBwAQI4MAaznYRQMAfAQLYn16wEgQQCEyAAA6s4WwXAQT8ESCA/ekFK0EAgcAECODAGs52EUDAHwEC2J9esBIEEAhMgAAOrOFsFwEE/BEggP3pBStBAIHABAjgwBrOdhFAwB8BAtifXrASBBAITIAADqzhbBcBBPwRIID96QUrQQCBwAQI4MAaznYRQMAfAQLYn16wEgQQCEyAAA6s4WwXAQT8ESCA/ekFK0EAgcAECODAGs52EUDAHwEC2J9esBIEEAhMgAAOrOFsFwEE/BEggP3pBStBAIHABAjgwBrOdhFAwB8BAtifXrASBBAITIAADqzhbBcBBPwRIID96QUrQQCBwAQI4MAaznYRQMAfAQLYn16wEgQQCEyAAA6s4WwXAQT8ESCA/ekFK0EAgcAECODAGs52EUDAHwEC2J9esBIEEAhMgAAOrOFsFwEE/BEggP3pBStBAIHABAjgwBrOdhFAwB8BAtifXrASBBAITIAADqzhbBcBBPwRIID96QUrQQCBwAQI4MAaznYRQMAfAQLYn16wEgQQCEyAAA6s4WwXAQT8ESCA/ekFK0EAgcAECODAGs52EUDAHwEC2J9esBIEEAhMgAAOrOFsFwEE/BEggP3pBStBAIHABAjgwBrOdhFAwB8BAtifXrASBBAITIAADqzhbBcBBPwRIID96QUrQQCBwAQI4MAaznYRQMAfgT7+LIWVIIBATwvk5eX1dEnq9aAAAdyDmJRCwCcBY4xPy2EtMQK8BBGDwiEEEEAgCQECOAll5kAAAQRiBAjgGBQOIYAAAkkIEMBJKDMHAgggECNAAMegcAgBBBBIQoAATkKZORBAAIEYAQI4BoVDCCCAQBICBHASysyBAAIIxAgQwDEoHEIAAQSSECCAk1BmDgQQQCBGgACOQeEQAgggkIQAAZyEMnMggAACMQIEcAwKhxBAAIEkBAjgJJSZAwEEEIgRIIBjUDiEAAIIJCFAACehzBwIIIBAjAABHIPCIQQQQCAJAQI4CWXmQAABBGIECOAYFA4hgAACSQgQwEkoMwcCCCAQI0AAx6BwCAEEEEhCgABOQpk5EEAAgRgBAjgGhUMIIIBAEgIEcBLKzIEAAgjECBDAMSgcQgABBJIQIICTUGYOBBBAIEaAAI5B4RACCCCQhAABnIQycyCAAAIxAgRwDAqHEEAAgSQECOAklJkDAQQQiBEggGNQOIQAAggkIUAAJ6HMHAgggECMAAEcg8IhBBBAIAkBAjgJZeZAAAEEYgQI4BgUDiGAAAJJCBDASSgzBwIIIBAjEBvAxpiYoRxCAAEEEOhJgdgA7skJqIUAAgggEC/w/7arR1A0sSkvAAAAAElFTkSuQmCC" alt></p>
<p style="text-align: left;">The loop is made to move with constant speed <em>v</em> towards the wire.</p>
<p style="text-align: left;">(i) Explain, by reference to Faraday’s and Lenz’s laws of electromagnetic induction, why work must be done on the loop.</p>
<p style="text-align: left;">(ii) Suggest what becomes of the work done on the loop.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Curling is a game played on a horizontal ice surface. A player pushes a large smooth stone across the ice for several seconds and then releases it. The stone moves until friction brings it to rest. The graph shows the variation of speed of the stone with time.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The total distance travelled by the stone in 17.5 s is 29.8 m.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the coefficient of dynamic friction between the stone and the ice during the last 14.0 s of the stone’s motion.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows the stone during its motion <strong>after</strong> release.</p>
<p><img 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"></p>
<p>Label the diagram to show the forces acting on the stone. Your answer should include the name, the direction <strong>and</strong> point of application of each force.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A company designs a spring system for loading ice blocks onto a truck. The ice block is placed in a holder H in front of the spring and an electric motor compresses the spring by pushing H to the left. When the spring is released the ice block is accelerated towards a<br>ramp ABC. When the spring is fully decompressed, the ice block loses contact with the spring at A. The mass of the ice block is 55 kg.</p>
<p style="text-align: center;"><img 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" alt></p>
<p>Assume that the surface of the ramp is frictionless and that the masses of the spring and the holder are negligible compared to the mass of the ice block.</p>
</div>
<div class="question">
<p>On a particular day, the ice blocks experience a frictional force because the section of the ramp from A to B is not cleaned properly. The coefficient of dynamic friction between the ice blocks and the ramp AB is 0.030. The length of AB is 2.0 m.</p>
<p>Determine whether the ice blocks will be able to reach C.</p>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Rocket motion</p>
<p>A test model of a two-stage rocket is fired vertically upwards from the surface of Earth. The sketch graph shows how the vertical speed of the rocket varies with time from take-off until the first stage of the rocket reaches its maximum height.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Show that the maximum height reached by the first stage of the rocket is about 170 m.</p>
<p>(ii) On reaching its maximum height, the first stage of the rocket falls away and the second stage fires so that the rocket acquires a constant horizontal velocity of 56 m s<sup>–1</sup>. Calculate the velocity at the instant when the second stage of the rocket returns to the surface of the Earth. Ignore air resistance.</p>
<div class="marks">[7]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A full-scale version of the rocket reaches a height of 260km when the first stage falls away. Using the data below, calculate the speed at which the second stage of the rocket will orbit the Earth at a height of 260km.</p>
<p style="text-align: center;">Mass of Earth = 6.0×10<sup>24</sup> kg<br>Radius of Earth = 6.4×10<sup>6</sup> m</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Projectile motion</p>
<p>A ball is projected horizontally at 5.0ms<sup>–1</sup> from a vertical cliff of height 110m. Assume that air resistance is negligible and use <em>g</em>=10ms<sup>–2</sup>.</p>
<p><img 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u8kr/AiQIAAAQIECBAgQIAAAQIECBAgQIAAgbIReFfZVKpQAgQIECBAgAABAgQIECBAgAABAgQIEMgICHb9IRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgIBg198AAQIECBAgQIAAAQIECBAgQIAAAQIEykxAsFtmG6ZcAgQIECBAgAABAgQIECBAgAABAgQICHb9DRAgQIAAAQIECBAgQIAAAQIECBAgQKDMBAS7ZbZhyiVAgAABAgQIECBAgAABAgQIECBAgMCOCAgQIECgZwusWbMmVq5YGa+8sjzeemt9/Ndvf7vZDb///e+P9+3xvvjQh/aKIUOHxMCBAze7xgcECBAgQIAAAQIECBAgQIBA6Qjs8E7yKp1yVEKAAAEC3SHw6spX44c//GH8+LGF8Vrta+2mHDV6dLvf01+WLF7c7rMPVn8wjh1zXHzyk5+MwUMGt/vOLwQIECBAgAABAgQIECBAgEDxBQS7xd8DFRAgQKBbBP7617/GwkcXxuxZ32sJc/cfsX98/JhjYsRHPhJDhgyJvn37drpWOn7lypWx9IUX4iePPx4vLn0xc20a8o6fcG4c94njtji+04l9QYAAAQIECBAgQIAAAQIECHS7gGC320lNSIAAgcIL/OCBH8SNN1wf69aui2wQe/gRh+d1pEJ6hMNPn/5pS1Dcf7f+cdnlk+K0008r/A1akQABAgQIECBAgAABAgQIEGgnINhtx+EXAgQIlJdAeuTC5CsmZbpr00D3yxdfEmOOG9PtN/HYwsfi5m9Nz3QCp13A10273hEN3a5sQgIECBAgQIAAAQIECBAg0HUBwW7XrVxJgACBkhKYPWtWXHft1ChkJ23bzuDJV05JjmiYUFImiiFAgAABAgQIECBAgAABAr1FQLDbW3bafRIg0GME0rNwp994U9x7zz2Rds/eevvteR25kCtMekTDhRdckOkSPuvss+OSyy519m6uiK4nQIAAAQIECBAgQIAAAQJ5Cgh28wQ0nAABAoUUSEPdzyZhavpgszRU/do1Vxdy+XZrXfO1q1vC5buSkHlLD2ZrN9AvBAgQIECAAAECBAgQIECAQN4Cgt28CU1AgACBwgi0DXWnTptWEg8xS49mmHLFFZnOYeFuYf4OrEKgNws01S2Je59cEW8+9//FzFc+EQ/+dFIMr+jNIu6dAAECBAgQIECgNwu8qzffvHsnQIBAOQl87StfyXTqpkcvnHb6aSVRelpHWk/aQZzW50WAAIHtJdBUMz1O++bieOVHt8fMp1Zvr2XMS4AAAQIECBAgQKBsBHYsm0oVSoAAgV4s8K3p34qHFzwcF1x4YYw5bkxJSaT1LF9+Ydx+663xvj3eHxdfcnFJ1acYAgR6hkDF8EviwTsjmmr6xi9OvCNEuz1jX90FAQIECBAgQIDAtgvo2N12OyMJECBQEIGamppMaDpq9OiSDU3TMDetLw1303q9CBAgQIAAAQIECBAgQIAAge0rINjdvr5mJ0CAQF4C6bm6l196afTfrX/c8p1v5zXX9h6c1pfWmdab1u1FgAABAgQIECBAgAABAgQIbD8Bwe72szUzAQIE8hb43szvxWu1r8XNt3w7+vbtm/d823OCtL60zrTetG4vAgQIECBAgAABAgQIECBAYPsJCHa3n62ZCRAgkJfAmjVrWo5gOPSwQ/Oaq1CD0zqzRzKk9XsRKD2BN2PJ5UdE9aCqLfwzNEZevigauqv4prpYMue6mHDQ0OY1k/k/d13ctbgumrprDfMQIECAAAECBAgQINDrBAS7vW7L3TABAuUiMHPGHZlSr5g8uVxKbldvtv6yKl6xPV6gqfbhuH3B61u+z8oR8dnzDo1+W76qC982RUPNrJgw8uMx/nu1sffUn8SKVXVRW/uT+ObetTH7nI/HYefOjVXS3S5YuoQAAQIECBAgQIAAgU0FBLubividAAECJSCQnlF77z33xNgTx8bgIYNLoKKul5DWm9ad1u+s3a67ubIQAm/GMzPvi5rGLa1VGQNPPCdOqe6zpYu68F0S6i69JT4zbmosrt8nzrv9+rh4dFVUpCMrqmLUpbfFvVeOiPonroozJwp3uwDqEgIECBAgQIAAAQIENhHYcZPf/UqAAAECJSCw8NGFmSr+/ayzSqCa3EtI6354wcOR3sdpp5+W+wRGENgOAhu7df8So6c/G7NOfu92WKHNlA2LY9oFM+OlxiQoHjcxzh0xoM2X6ds+UX3qOTH2zqUx74lvxkU3vT/unnRwN3QJb7JMyf36dtRcf2KcMmNFFyvrl+zXwu2/X12sxmUECBAgQIAAAQIESklAsFtKu6EWAgQINAs8OG9ufLD6gzF8+PCyNEnrTutP70OwW5ZbuFnR2e7rUn+I32aFt3zQ3K27++nx4NjtHOpGco7v1Gtj3pq0NXhonHDGyI4D234j47QTq2JeEnK+NOPq+N7RC+Ly4Tu1VNwz3+wUwyf9JGon9cy7c1cECBAgQIAAAQIECingKIZCaluLAAECXRBIA7QXl74Yx445rgtXl+4laf3pfWQDwdKtVGVdEVi5cmUcNvL/xOxZs8pyT1u6db/86RieOQ+hK3e9bde0O8d3j9Fx1LDOwtqdYp8D9kt6d9PXiphz2+NRv21LGkWAAAECBAgQIECAQC8UEOz2wk13ywQIlLZAzYs1mQJHjR5V2oVupbps/dn72crlvi4Dgb/85S9x3bVT4/8cfEiZBbyt3bqf3+7dum/HsgcfbDnHt/JDQ2LPLQTJlf92YBxSuXHzG595PH5a70lqZfBfBSUSIECAAAECBAgQKAkBwW5JbIMiCBAg0Crw/PPPZ34p12MYsneSrT97P9nP/Sx/gfXr15dVwNvSQbv6juShaMNi7OW3JsH0w1HTsB1C1KaXY9GP6po3uTJ2H/qBjo9hyP4Z7No/BmSD38bn48dP/zH7jZ8dCjTF+nV/if9Nv/vfv0TD+u2whx2u60MCBAgQIECAAAECpScg2C29PVERAQK9XOC/fvvb2H/E/j1CIb2P9H68eqZAeQS8zd266XG3mdf6eGnut5Jg+stxyn57x8jPXR/za7rxAIQ3Xoyfr84uVhH9d9slsrlttoJ2PyvfF4OHbjyMIaIhfvbYc106jqGpbkncdcekGDtk7xg7q82DyBpqYn7m86qoHpT+c2hMuH7+5iF2U10smXNrXPHJYc3XDc3TYkOsWjyrzXxVsdcnJ8XMOUtiVVNTNCy+Jia0rbMdQhd/qZ8fE4YMjhHn3B9r0iFr7o/x+w2OvT43v0tmXVzFZQQIECBAgAABAgTKRsDD08pmqxRKgEBvEXj99VUxbNiwHnG7e+65ZyxbtqxH3Iub6FwgG/De9p1b4wtfvDBOP+OMKJWHrLV063ZYfmOseeqOuOyp++LeT02LW74xJgZtMYXtcJJ2HzbWvRorWz7pF3tVv6flt47f9I3d3p0GuxsyXze+sjLeSJpQW7p42w5KQ9t5/xm/+tGsmLdsffM3fWLfzLskWF10fVz0+bvjpWyunPl8dSyecUksXvBCzH78GzGqX0U01T0WX/3SFfFAyxzphVmLH8ev5syLaaPfnRndpf9oqo35Ez8Tly3ZLU7/7iOx4qiqTJidCZ9n3BLHVJ+TzJ7UeeUZXZqu04sGnBSzVp7U6de+IECAAAECBAgQINDbBHTs9rYdd78ECJS8wGu1r8XeH/5wydfZlQLT+0jvx6t3CGQD3lI6g7eiekI8uLIuale9GksX3ByTr5wSl48bFs3H2jZvTNLF+/2L4sxzZ23e2ZrT1jXG72vrmiParg7cKfoPyHbsJmP+vDYa/t7R2LejZuZXYvpzr0X9nzaGwK1XJaHuQ5Pjogf6xFlzX0juNbnf2sUx81Nt7nPNg3H1zF9HY93cuODTs6Pp+G/HU0mt6bUrltwepw/bpXm612PeV+dETZdPONgQtXOuiilP/DVGT5sR1zaHuulkFVWjYvwNc+K+icM38W6t3DsCBAgQIECAAAECBLZdQLC77XZGEiBAgAABAh0IlGLAm8SM0W/42Bg/YUKcd8MjsTwJPmd/4cgY2FJ/2rF6Y3zh8oeSowNaPszxTWOsW/uXNmPeH4Ordm7zexfeNq2LdW91VMBOMXzSo/HsnTfHrIXTYnRLMt0Ub/7oO3HH2n+Pu++cFCcNH7BxkYqq+NjUGTH1yH7NizbG6gVfi1O/9Is4+j++H9MmjGrpTq6oGhNfv/nCGJ6dc/XiWLTs7S4Um1zS9Nt46J6lSUfukDhw/466fAfEiPMmxtiB2cm7Nq2rCBAgQIAAAQIECBDYuoCjGLZu5AoCBAgQ2EaB666dmhmZnvXp1fsEsgHvd2+7PSZNnhynnX5a6SAkweeoS2fHMye3PZYgCXef+GZcOmdY/GDCXls+G7fDO/lbNNS/1eE3Xf6wsSHWvpW07HZ4FkPzLAP2iQP37hOLl23s3N1x5MS4dsKIDurdPQ4fc0BUPrUoCV6TV/1746yFN8VJHcxdMWj/+OjulVGTOR/4jfj5C6sjhg/detkNr8fKP6azL4/Hn6yNz3bk1m9knHZiVVyz9dlcQYAAAQIECBAgQIBADgI6dnPAcikBAgQI5CaQ/mvvXr1bYOedd47Pf+GCOO4Tx5UkRNqteu29M+O8lqMI1kfNPY/Eso6aZkvzDrbwgLaK2LV//9bAt6J/9N+1k0OEK3aJ3Xbr5Lsu3XfidsOUmL60owfR7RTDjj6iTXd0lyZ0EQECBAgQIECAAAECWxHQsbsVIF8TIECAQP4C6TmeXuUtUFNTE6ec2PUHV6WB7hcv+lJJPUit0x3od3BckhxF8KtjpkZN2nyaOYogOZpg+E6dDun4i3+IfgN2Tb5a0/HXXfm0sl/stmux///uG2Llyt8nXb5Dt342br8PxJCk03dx2unbWBMzTx4VPx93YXxp4qdjVFXr2cEVw78cdwzvCoBrCBAgQIAAAQIECBDoqkCx/y+HrtbpOgIECPQqgbfeyj7xvrxvu6fcR3nvQmGrTwPdtFP75798LnOebd++fQtbwDauVlF9Zlw5Pnv0QPNRBDnPVZl0z/5TjqP+FLXLG1rHbKmrtvWq0nlXsV+c+/VT2nTjJg+imzs1xo/6aIy9fFYsqdv0QW+lU7pKCBAgQIAAAQIECJS7gGC33HdQ/QQI9DiBUaNHx3/99rc94r7S+0jvx6vnC5RroNu6M+lxAaNjj9YPtuFdZbyvuipa+1R/F6/W/U9u8wwdHFVl9Zyx5KF0o78RCxdMidHtHpCWDXiHxcjP3Szgze2vwNUECBAgQIAAAQIEuiQg2O0Sk4sIECBQOIF/+qdd49e/rincgttxpfQ+0vvx6rkC5R/otu5NxT4fjYNbU9nWL3J4V1k1OIbkcH00rY+1a1sP9O2z1+B4Xy7jS+LaJNwdPiFmPf6DuHHikW26d9PikgfSPfWdGH/0p+KGDs/fLYkbUAQBAgQIECBAgACBshQQ7JbltimaAIGeLLD3hz8c69auizVr8jinswSA0vrT+0jvx6vnCfSkQHfz3dkzDvnINvbu7rl/HLJHtuW2IZbX/mnz6dt+8ve3Yu2f04N901e/OOTAD239XNuNF5fef/YbHidNmh3P/nr+5gFvev7u6ZNjfn1riF16N6AiAgQIECBAgAABAuUlINgtr/1SLQECvUBgxEc+krnLF5e+WNZ3m60/ez9lfTOKbxHo0YHuW+sikzsOHBEHVP1jyz3n9KZi7zjq+KrmIRti+XO/ifotTbD61ViePYa28oA49ojdt3R1eXzXHPA+s+T2OH3YLq01Nz4d35796xDttpJ4R4AAAQIECBAgQCAfAcFuPnrGEiBAYDsIDB8+PHkAU/946slF22H2wk2Z1p/eR3o/XuUvsEvfXcryoWhdl2+K+qcfj5817hLDP3dWHNavoutD212ZnNV7yikxvLlpt/GVlfFGp0lmsuaLz8fyzPjKGHjiqTF6wLau266Iwv3SuCSu/Pz8DsPriqoxce2CBXHj0dnu58ZY/eyL8bvCVWclAgQIECBAgAABAj1aQLDbo7fXzREgUK4Cxx//yXh4wcPx17/+tSxvIa07rT+9D6+eITB4yOAYP2FC9O3bt2fc0KZ30bA4brzx6Wgc+Im44NQhkU+8WlE9Ni448QMbV1i9OBYte3vT1Zp/Xx/LfvlScgpt8qocEZ8979DkMIbyezX97PH4aWdHLFRUx0mTz4p9m2+r8t0Dok0Pb/ndrIoJECBAgAABAgQIlJCAYLeENkMpBAgQyAqMPvLIzNuFjy7MflRWP7N1Z++jrIpXbI8SaKpbEnfNuivm19R3fl8NS2P2JV+PefUjYvJ9X41R29ytm13i3TFqypVx6sC0bbcuFj7xcsfHD9Qvju8vSM/S3iX2Hf/FOKU6zye3ZZfv7GfTulj3Vqftw52N2vrnjc/F9+ev7Pge09F7DI69MrdWGbsP/UBZhtdbR3AFAQIECBAgQIAAgcILCHYLb25FAgQIbFXg0MMOjQ9WfzBmz/reVq8txQvSutP60/vwIlA0gfr5cf7R58Q3r/16XHbiqBh7+axYUpc90Datqj5qHro+JhxzRlz3271j8tzbYvyWwtWmunhyygmx16CqqB5yQly5qK7zMLPf6Lhi6ikxMOnHXT37prirtu266dpvxpLrvxOLG5MjGI6+Km659OCuB55N62Pt2mxAuyFWrvz9xq7fdNotvRobYu1bf9/SFdv43fqouXZCXPBQbYceTb/5Vfwivf2Bp8TV5+2XVzf0NhZoGAECBAgQIECAAIEeKSDY7ZHb6qYIEOgJAl+++JJ4rfa1eGzhY2V1O2m9ad1p/V4EiirQ78Nx4L7Zf/F/fbw0d2qMH7V3VKfBbOafj8Qpl9wXbx729Xjw8RkxfviALZf7xpNx2/eXbQxRG5fFAxfeEc9kzlHoaFhF9Bv91bhv1meSYwiei+vO/GLMznYNN9TEvMvHx8S5a2PfT90S980YF4O6fPbDhlj18N3xyOrWhTc8Mz9+1C6w3lhPU91jcfUtP47WSHl5PDrjoahpyIbC2bqTgHtWEj4va71yw4Jb4uotBdfZoS0/V8eiS06Mk9uF50mti2+O8yfeGauTIy5uvL87uqFbFvSGAAECBAgQIECAQK8X2OGd5NXrFQAQIECgRAWOSo5kWLduXTz9zDNlcbZperbuEYcdFv37949FTz1VoqrK6lUCSYg6/4EH4t7pc+Ol1iw0KoeNiy8ff3B89NTjY3hXj15IO3a/clF8IQ13K4fF6d+9Jb5+VNVWO1DT4yDunXtfzJ7xVKQHLyRnE8ToiWfFsUefFCdtLUxu2azGWDXrzDjy2udbPtn8zQExecl9MT7ujrGjpsZLm1/Q+kmfcTH7pckRVx4b4+durKr1y7bvBsapc34c00Z3cvpv+vC0L62Li787JtYvfjCeXPFSPNrWeuCRcd65Z8a4s0flEF63Xd97AgQIECBAgAABAgQ6ExDsdibjcwIECJSAwM+e+Vl85qyz4oILL4yLL7m4BCracgnfmv6tuP3WW+Pue+91DMOWqXxLgAABAgQIECBAgAABAgTyEnAUQ158BhMgQGD7CqRn1I49cWwmLK2pqdm+i+U5e1pfGuqm9TpbN09MwwkQIECAAAECBAgQIECAwFYEdOxuBcjXBAgQKLZA9niDtI5HH3ssBg4cWOySNlt/zZo18YkxYzKfl8uxEZvdhA8IECBAgAABAgQIECBAgEAZCejYLaPNUioBAr1ToG/fvvHAD+bGurXr4sILLog06C2lV1pPWldaX1pnWq8XAQIECBAgQIAAAQIECBAgsH0FBLvb19fsBAgQ6BaBwUMGx6233x4vLn0xPnv22SUT7qahblpPWldaX1qnFwECBAgQIECAAAECBAgQILD9BQS729/YCgQIEOgWgTHHjSmpcHfTUDetz4sAAQIECBAgQIAAAQIECBAojIAzdgvjbBUCBAh0m8BjCx/LHH3Qf7f+maMPitEl++rKV+P008Zljl9IO3WFut22vSYiQIAAAQIECBAgQIAAAQJdEtCx2yUmFxEgQKB0BNIQ9e57780U9PGjjorZs2YVtLh0vXTd9JXWIdQtKL/FCBAgQIAAAQIECBAgQIBARkDHrj8EAgQIlKnAmjVr4qopV8aSxYtj/xH7x5Srrorhw4dvt7upqamJqd/8ZuY83VGjR8c3p14bAwcO3G7rmZgAAQIECBAgQIAAAQIECBDoXECw27mNbwgQIFAWAj944Adx4w3XZ45FSAPXCy78QrcGvGmge/utt2UC5PT4h8sunxSnnX5aWdgokgABAgQIECBAgAABAgQI9FQBwW5P3Vn3RYBArxJIH2T2wP33xx0zZmQC3g9WfzDGTzg3RowYEdtyBm96hu7SpUuTYx6+F6/VvhZpoHv+xIlx+hlnRN++fXuVrZslQIAAAQIECBAgQIAAAQKlKCDYLcVdURMBAgS2USANeBc+urAlkE2nSUPeYcOGxd4f/nB86EN7Rd9dNg9m/7r+r/HKK8vj5f/6r1i2bFkmzM2OTQPi4z5xnEB3G/fEMAIECBAgQIAAAQIECBAgsD0EBLt5qFYPqspjtKEECBAorsBrr6/KFPDBDwxqKSTtzD388MPjowcetM3dvi2TeUOAAAECBAgQIECAAAECBAhsN4Edt9vMJiZAgACBshB4cMH8TJ1DhgzRlVsWO6ZIAgQIECBAgAABAgQIECAQoWPXXwGBEhUYlXRN/r3p7/HT//xZiVaorHIX2GGHHTK38M4775T7raifAAECBAgQIECAAAECBAj0OoF39bo7dsMEykDgsYWPxRuvvxGrV6+O9L0XAQIECBAgQIAAAQIECBAgQIAAgbYCOnbbanhPoEQE0m7dNNhNX+9973vjZz9/tkQqU0ZPEtCx25N2070QIECAAAECBAgQIECAQG8T0LHb23bc/Za8QLZbN1voH/7wB127WQw/CRAgQIAAAQIECBAgQIAAAQIEMgI6dv0hECgxgbbdutnSdO1mJfzsTgEdu92paS4CBAgQIECAAAECBAgQIFBYAR27hfW2GoEtCmzarZu9WNduVsJPAgQIECBAgAABAgQIECBAgACBVEDHrr8DAiUk0FG3brY8XbtZCT+7S0DHbndJmocAAQIECBAgQIAAAQIECBReQMdu4c2tSKBDgc66dbMX69rNSvhJgAABAgQIECBAgAABAgQIECCgY9ffAIESEdhSt262RF27WQk/u0NAx253KJqDAAECBAgQIECAAAECBAgUR0DHbnHcrUqgncDWunWzF+vazUr4SYAAAQIECBAgQIAAAQIECBDo3QI6dnv3/rv7EhHoSrdutlRdu1kJP/MV0LGbr6DxBAgQIECAAAECBAgQIECgeAI6dotnb2UCGYGudutmuXTtZiX8JECAAAECBAgQIECAAAECBAj0XgEdu7137915iQjk0q2bLVnXblbCz3wEdOzmo2csAQIECBAgQIAAAQIECBAoroCO3eL6W72XC+TarZvl0rWblfCTAAECBAgQIECAAAECBAgQINA7BXTs9s59d9clInDUkUfGa7WvbVM1H6z+YCx66qltGmsQgVRAx66/AwIECBAgQIAAAQIECBAgUL4Cgt3y3TuV93CB6kFVmTusXVXXw+/U7RVLQLBbLHnrEiBAgAABAgQIECBAgACB/AUcxZC/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlNtiBAgQIECAAAECBAgQIECAAAECBAgQyF9AsJu/oRkIECBAgAABAgQIECBAgAABAgQIECBQUAHBbkG5LUaAAAECBAgQIECAAAECBAgQIECAAIH8BQS7+RuagQABAgQIECBAgAABAgQIECBAgAABAgUVEOwWlLvcF2uKhpqHY/as62LCQcNi7KwV23hD3TRPU10smZPWMjSqB1Ul/wyNkZ+7Lu5aXBdN21iZYQQIECBAgAABAgQIECBAgAABAgTKQWDHcihSjcUU2BCrFj8YT654KR6dPjdeaszW0if2zb7t0s/umiddLA2G58RlE2+MxXFYXDD1J3HH6KqoSIPem6+Nq875eMw++ptx34xxMaiiS8W5iAABAgQIECBAgAABAgQIECBAgEBZCejYLavtKnyxTTW3x6X3/S6iYnAce+KwqNzGErprnkyou/SW+My4qbG4fp847/br4+I01E3rqqiKUZfeFvdeOSLqn7gqzpw4N1Zp3d3GHTOMAAECBAgQIECAAAECBAgQIECglAV07Jby7pRAbRXDL4kH72wupGn/+MvPz4iZq1vadrtcYXfNEw2LY9oFM5PO4coYOG5inDtiwCY19InqU8+JsXcujXlPfDMuuun9cfekg6PfJlf5lQABAgQIECBAgAABAgQIECBAgEA5C+jYLefdK3TtFbvEbrt1w9kG2zzPm7Fk6rUxb00aLFfFCWeM7Diw7TcyTjuxKrlmfbw04+r4Xs3bhZayHgECBAgQIECAAAECBAgQIECAAIHtKiDY3a68PW3y90T1Xt3R+7pt8zTVPhy3L3h9I+oeo+OoYTt1ArxT7HPAftEn8+2KmHPb41HfyZU+JkCAAAECBAgQIECAAAECBAgQIFCOAoLdcty1Xlnz27HswQejpvkUiMoPDYk9t9A8XPlvB8YhzQcCNz7zePy03mG7vfLPxk0TIECAAAECBAgQIECAAAECBHqogGC3h25sj7utppdj0Y/qmm+rMnYf+oGOj2HI3viu/WNANvhtfD5+/PQfs9/4SYAAAQIECBAgQIAAAQIECBAgQKDsBQS7Zb+FveQG3ngxft7y0LaK6L/bLpHNbTsUqHxfDB668TCGiIb42WPPdek4hqa6JXHXHZNi7JC9Y+ysFa1TN9TE/MznVVE9KP3n0Jhw/fyoadikE7ipLpbMuTWu+OSw5uuGxsjPXR/zaxwG0YrpHQECBAgQIECAAAECBAgQIECAQL4CO+Y7gfEECiHQWPdqrGxZqF/sVf2elt86ftM3dnt3GuxuyHzd+MrKeCPJYFu6eNsOSkPbef8Zv/rRrJi3bH3zN31i38y7DbFq0fVx0efvjpeaj4HYeMHqWDzjkli84IWY/fg3YlS/imiqeyy++qUr4oGWOdIrG2PNU3fEZU/9OH41Z15MG/3ujcP9JwECBAgQIECAAAECBAgQIECAAIE8BHTs5oFnaKEEGuP3tXXNEW1X19wp+g/IduwmY/68Nhr+3tHYt6Nm5ldi+nOvRf2fNobArVcloe5Dk+OiB/rEWXNfiNpVdVFbuzhmfmpYNB/fG7Hmwbh65q+jsW5uXPDp2dF0/LfjqaTW9NoVS26P04ft0jzd6zHvq3OiZpMG39a1vCNAgAABAgQIECBAgAABAgQIECDQdQHBbtetXFk0gcZYt/YvbVZ/fwyu2rnN711427Qu1r3VUaq6Uwyf9Gg8e+fNMWvhtBjdktg2xZs/+k7csfbf4+47J8VJwwdsXKSiKj42dUZMPbJf86KNsXrB1+LUL/0ijv6P78e0CaNiUPMZERVVY+LrN18Yw7Nzrl4ci5a93YViXUKAAAECBAgQIECAAAECBAgQIEBgywKC3S37+LYkBP4WDfVv5VdJY0OsfavDlt3WeQfsEwfu3drlu+PIiXHthBEdPKRt9zh8zAGtXbv1742z7ropTqpqHZudtGLQ/vHR3bPJ7hvx8xdWZ7/ykwABAgQIECBAgAABAgQIECBAgMA2Cwh2t5nOwJ4tsKUHtFXErv37tz68raJ/9N+1k0e5VewSu+3WyXc9G9DdESBAgAABAgQIECBAgAABAgQIbEcBwe52xDV1dwn8Q/QbsGt+k1X2i912Lfaf+4ZYufL3yePUvAgQIECAAAECBAgQIECAAAECBAjkJ1DspCu/6o3uJQKV0X+3f8rxXv8UtcsbWsdsqau29SrvCBAgQIAAAQIECBAgQIAAAQIECJSFgGC3LLaptxdZGe+rrorWE2x/F6/W/U9uKEMHR1X2qNvcRrqaAAECBAgQIECAAAECBAgQIECAQMkJCHZLbksU1JFAZdXgGNLRF5191rQ+1q5tavm2z16D430tv3lDgAABAgQIECBAgAABAgQIECBAoLwFBLvlvX+9p/o9949D9si23DbE8to/bfne//5WrP1z9jTbfnHIgR+K7OgtD/QtAQIECBAgQIAAAQIECBAgQIAAgdIXEOyW/h6pMBWo2DuOOr6q2WJDLH/uN1G/JZnVr8byDc0XVB4Qxx6x+5au9h0BAgQIECBAgAABAgQIECBAgACBshIQ7JbVdvXmYneKYaecEsOb224bX1kZb7SetLAJTFPUv/h8LM98WhkDTzw1Rg+o2OQavxIgQIAAAQIECBAgQIAAAQIECBAoXwHBbvnuXa+rvKJ6bFxw4gc23vfqxbFo2dudGKyPZb98KTIHMVSOiM+ed2j06+RKHxMgQIAAAQIECBAgQIAAAQIECBAoRwHBbjnuWtFqfjvW1WfPN8iniG2d590xasqVcerAtG23LhY+8XJ02LRbvzi+v2BNcs0use/4L8Yp1X3yKXbrY5vWxbq3Oqxk62NdQYAAAQIECBAgQIAAAQIECBAgQGAbBAS724DWe4f8Nda+mQ12N8TKlb/f2BWbM0ge8/QbHVdMPSUGJiuvnn1T3FWbrSdbxJux5PrvxOLG5AiGo6+KWy49uOvduk3rY+3abECbw/01NsTat/6eLcBPAgQIECBAgAABAgQIECBAgAABAttdQLC73Yl7ygL1UTMrCVKXtQapGxbcElcvquu4a7bT2853noroN/qrcd+sz8S+8Vxcd+YXY3ZN82PUGmpi3uXjY+LctbHvp26J+2aMi0FdPlp3Q6x6+O54ZHXmAIdM9RuemR8/qmu93+wtNdU9Flff8uNo/WZ5PDrjoahpyIbC2SvzvdfsPH4SIECAAAECBAgQIECAAAECBAgQaC+wwzvJq/1HfiPQVmBFzP7kCXFdm0C37bfZ933GzYlf3zAqmp9tlv24zc/umqd1yqa6JXHv3Pti9oynIj14IWKPGD3xrDj26JPipOEDWi/c4rvGWDXrzDjy2ue3cNUBMXnJfTE+7o6xo6bGS1u4MvqMi9kvTY648tgYP3djVR1fPjBOnfPjmDa689N/qwdVZYbWrqrreAqfEshTYIcddsjM4H8G8oQ0nAABAgQIECBAgAABAgQIFEFAsFsEdEsS6IqAYLcrSq7JR0Cwm4+esQQIECBAgAABAgQIECBAoLgCjmIorr/VCRAgQIAAAQIECBAgQIAAAQIECBAgkLOAYDdnMgMIECBAgAABAgQIECBAgAABAgQIECBQXAHBbnH9rU6AAAECBAgQIECAAAECBAgQIECAAIGcBQS7OZMZQIAAAQIECBAgQIAAAQIECBAgQIAAgeIKCHaL6291AgQIECBAgAABAgQIECBAgAABAgQI5Cwg2M2ZzAACBAgQIECAAAECBAgQIECAAAECBAgUV0CwW1x/qxMgQIAAAQIECBAgQIAAAQIECBAgQCBnAcFuzmQGECBAgAABAgQIECBAgAABAgQIECBAoLgCgt3i+ludAAECBAgQIECAAAECBAgQIECAAAECOQsIdnMmM4AAAQIECBAgQIAAAQIECBAgQIAAAQLFFRDsFtff6gQIECBAgAABAgQIECBAgAABAgQIEMhZQLCbM5kBBAgQIECAAAECBAgQIECAAAECBAgQKK6AYLe4/lYnQIAAAQIECBAgQIAAAQIECBAgQIBAzgKC3ZzJDCBAgAABAgQIECBAgAABAgQIECBAgEBxBQS7xfW3OgECBAgQIECAAAECBAgQIECAAAECBHIWEOzmTGYAAQIECBAgQIAAAQIECBAgQIAAAQIEiisg2C2uv9UJECBAgAABAgQIECBAgAABAgQIECCQs4BgN2cyAwgQIECAAAECBAgQIECAAAECBAgQIFBcAcFucf2tToAAAQIECBAgQIAAAQIECBAgQIAAgZwFBLs5kxlAgAABAgQIECBAgAABAgQIECBAgACB4goIdovrb3UCBAgQIECAAAECBAgQIECAAAECBAjkLCDYzZnMAAIECBAgQIAAAQIECBAgQIAAAQIECBRXQLBbXH+rEyBAgAABAgQIECBAgAABAgQIECBAIGcBwW7OZAYQIECAAAECBAgQIECAAAECBAgQIECguAKC3eL6W50AAQIECBAgQIAAAQIECBAgQIAAAQI5Cwh2cyYzgAABAgQIECBAgAABAgQIECBAgAABAsUVEOwW19/qBAgQIECAAAECBAgQIECAAAECBAgQyFlAsJszmQEECBAgQIAAAQIECBAgQIAAAQIECBAoroBgt7j+VidAgAABAgQIECBAgAABAgQIECBAgEDOAoLdnMkMIECAAAECBAgQIECAAAECBAgQIECAQHEFBLvF9bc6AQIECBAgQIAAAQIECBAgQIAAAQIEchYQ7OZMZgABAgQIECBAgAABAgQIECBAgAABAgSKKyDYLa6/1QkQIECAAAECBAgQIECAAAECBAgQIJCzgGA3ZzIDCBAgQIAAAQIECBAgQIAAAQIECBAgUFwBwW5x/a1OgAABAgQIECBAgAABAgQIECBAgACBnAUEuzmTGUCAAAECBAgQIECAAAECBAgQIECAAIHiCgh2i+tvdQIECBAgQIAAAQIECBAgQIAAAQIECOQsINjNmcwAAgQIECBAgAABAgQIECBAgAABAgQIFFdAsFtcf6sTIECAAAECBAgQIECAAAECBAgQIEAgZwHBbs5kBhAgQIAAAQIECBAgQIAAAQIECBAgQKC4AoLd4vpbnQABAgQIECBAgAABAgQIECBAgAABAjkLCHZzJjOAAAECBAgQIECAAAECBAgQIECAAAECxRUQ7BbX3+oECBAgQIAAAQIECBAgQIAAAQIECBDIWUCwmzOZAQQIECBAgAABAgQIECBAgAABAgQIECiugGC3uP5WJ0CAAAECBAgQIECAAAECBAgQIECAQM4Cgt2cyQwgQIAAAQIECBAgQIAAAQIECBAgQIBAcQUEu8X1tzoBAgQIECBAgAABAgQIECBAgAABAgRyFhDs5kxmAAECBAgQIECAAAECBAgQIECAAAECBIorINgtrr/VCRAgQIAAAQIECBAgQIAAAQIECBAgkLOAYDdnMgMIECBAgAABAgQIECBAgAABAgQIECBQXAHBbnH9rU6AAAECBAgQIECAAAECBAgQIECAAIGcBQS7OZMZQIAAAQIECBAgQIAAAQIECBAgQIAAgeIKCHaL6291AgQIECBAgAABAgQIECBAgAABAgQI5Cwg2M2ZzAACBAgQIECAAAECBAgQIECAAAECBAgUV0CwW1x/qxMgQIAAAQIECBAgQIAAAQIECBAgQCBnAcFuzmQGECBAgAABAgQIECBAgAABAgQIECBAoLgCgt3i+ludAAECBAgQIECAAAECBAgQIECAAAECOQsIdnMmM4AAAQIECBAgQIAAAQIECBAgQIAAAQLFFRDsFtff6gQIECBAgAABAgQIECBAgAABAgQIEMhZQLCbM5kBBAgQIECAAAECBAgQIECAAAECBAgQKK6AYLe4/lYnQIAAAQIECBAgQIAAAQIECBAgQIBAzgKC3ZzJDCBAgAABAgQIECBAgAABAgQIECBAgEBxBQS7xfW3OgECBAgQIECAAAECBAgQIECAAAECBHIWEOzmTGYAAQIECBAgQIAAAQIECBAgQIAAAQIEiisg2C2uv9UJECBAgAABAgQIECBAgAABAgQIECCQs4BgN2cyAwgQIECAAAECBAgQIECAAAECBAgQIFBcAcFucf2tToAAAQIECBAgQIAAAQIECBAgQIAAgZwFBLs5kxlAgAABAgQIECBAgAABAgQIECBAgACB4goIdovrb3UCBAgQIECAAAECBAgQIECAAAECBAjkLCDYzZnMAAIECBAgQIAAAQIECBAgQIAAAQIECBRXQLBbXH+rEyBAgAABAgQIECBAgAABAgQIECBAIGcBwW7OZAYQIECAAAECBAgQIECAAAECBAgQIECguAKC3eL6W50AAQIECBAgQIAAAQIECBAgQIAAAQI5Cwh2cyYzgAABAgQIECBAgAABAgQIECBAgAABAsUVEOwW19/qBAgQIECAAAECBAgQIECAAAECBAgQyFlAsJszmQEECBAgQIAAAQIECBAgQIAAAQIECBAoroBgt7j+VidAgAABAgQIECBAgAABAgQIECBAgEDOAoLdnMkMIECAAAECBAgQIECAAAECBAgQIECAQHEFBLvF9bc6AQIECBAgQIAAAQIECBAgQIAAAQIEchYQ7OZMZgABAgQIECBAgAABAgQIECBAgAABAgSKKyDYLa6/1QkQIECAAAECBAgQIECAAAECBAgQIJCzgGA3ZzIDCBAgQIAAAQIECBAgQIAAAQIECBAgUFwBwW5x/a1OgAABAgQIECBAgAABAgQIECBAgACBnAUEuzmTGUCAAAECBAgQIECAAAECBAgQIECAAIHiCgh2i+tvdQIECBAgQIAAAQIECBAgQIAAAQIECOQsINjNmcwAAgQIECBAgAABAgQIECBAgAABAgQIFFdAsFtcf6sTIECAAAECBAgQIECAAAECBAgQIEAgZwHBbs5kBhAgQIAAAQIECBAgQIAAAQIECBAgQKC4AoLd4vpbnQABAgQIECBAgAABAgQIECBAgAABAjkLCHZzJjOAAAECBAgQIECAAAECBAgQIECAAAECxRUQ7BbX3+oECBAgQIAAAQIECBAgQIAAAQIECBDIWUCwmzOZAQQIECBAgAABAgQIECBAgAABAgQIECiugGC3uP5WJ0CAAAECBAgQIECAAAECBAgQIECAQM4CO+Y8wgACBLpNYPasWVuda0vXjJ8wYavjXUCAAAECBAgQIECAAAECBAgQINDzBAS7PW9P3VEZCfx+9e/j3nvu2WLF1107tcPvzzr77A4/9yEBAgQIECBAgAABAp9rLFQAABifSURBVAQIECBAgEDPF9jhneTV82/THRIoTYE1a9bEyIMO3qbinn3uFzFw4MBtGmsQgVRghx12yED4nwF/DwQIECBAgAABAgQIECBAoPwEnLFbfnum4h4kkAaz29J5e/qnzhDq9qC/A7dCgAABAgQIECBAgAABAgQIEMhVQMdurmKuJ9DNAtvStatbt5s3oZdOp2O3l2682yZAgAABAgQIECBAgACBHiGgY7dHbKObKGeBXLt2deuW826rnQABAgQIECBAgAABAgQIECDQPQI6drvH0SwE8hLIpWtXt25e1Aa3EdCx2wbDWwIECBAgQIAAAQIECBAgUGYCOnbLbMOU2zMFutq1q1u3Z+6/uyJAgAABAgQIECBAgAABAgQI5Cog2M1VzPUEtpPAeRPP3+rMF37xi1u9xgUECBAgQIAAAQIECBAgQIBABwINS2P2lLuipqmD73xUhgJN0VDzcMyeNStm3zEpxu51bsyvz29zm2rujW8tfrNsLHYsm0oVSqCHC2S7du+9554O71S3bocsPiRAgAABAgQIECBAgAABAlsRSAPAe2Pa/RGnTTkrhlds5XJfl4HAipj9yRPiumUbWmvd4/yo6pff5lYM/1gMmjI3ag6/oCz+TnTstm6/dwSKLrClrl3dukXfHgUQIECAAAECBAgQIECAQNkJbIhVi6bGZbN2jvOv+2wMzzP4K7vb77EFD43xP3w5alfVxOxxA5O7rIw9jv9YDMsv103m2T0OH/HnePCn5dG1K9jtsX/gbqwcBbJdu5vWrlt3UxG/EyBAgAABAgQIECBAgACBrQkkoe5Dl8XZMwbGFbeOi0F5h35bW6+L39fPj/PPnR/1Xby8/WV/iPnnXpL3kQPt5yzj35pq4/mfp5JVcdzRe0f+W1wRA47YN+of+Nk27k9hLQW7hfW2GoGtCnTUtatbd6tsLiBAgAABAgQIECBAgAABAm0ENoa6Z964S1w955yozj/xazN3Pm/fjCXX3xNNHz8oBuQ8TXKkxOLb4ttNI+PwASVzQznfRXcOaFr2ZCxc3RjRZ784YJ+dumfqAQfF0U0PxJ01b3fPfNtxFsHudsQ1NYFtEdi0a1e37rYoGkOAAAECBAgQIECAAAECvVcgDUC/Hmde8lIcOvXLMapkjl9I67o5rpr7j3Hg/u/OfXsaFse0KY9G/4P22YZQOPflSn9E4vlabfwxKbRy5IExrLK7Kt4p+g/471j4xMuR36PYuquezucR7HZu4xsCRRNo27WrW7do22BhAgQIECBAgAABAgQIEChDgabaOTH+vPuj/sgvxmWjtyFA3R733FQXS246L4475/5Ys8eIGLFnLilk0n2cBMITjrkg5q35lzjkI3tsjwrLcM4/xk8fez4ao18cOmZbOqA7u+Wdo2rIv8QfV7weDZ1dUiKf71gidZRlGdWDqrq97tpVdd0yZ3fX1l11pTentq1vcbZr92+Nf4v0Pbetm3V0RXf/raVrdNd/F0qpth122KEjPp8RIECAAAECBAgQIFACAu+8804JVFFGJTQtj7suuzVq4qCYPGXMJp2tSYdnzY/iwReSB2Ot/WX8x4oxMf/Ok5qvqY+audPjmivvj5ca94ijpt8dt59c3emZrU11S+Lenzwej0yfm1yf+uwS+467ML408dMxqqpPG7DmIyEueTTWZD9dfUecUn1H8tsBMXnJfTG+qvOQt6lublxwxlWxaE1mkWTMiph54r/GzOgT+175SDw8YWh21szPrtfVblgnv6Re82La16bGvGXrk7bYYXHq5RfF+efsE3Vf+W6su+SqOKnDIyHSIHpuzL1vVsx8avXGudOx114dV4wbnsSwHb0S/4dmx3dvvDMWJ/daOewzcdu3J8XH+r8c82c+GmuPviTGD9/kqIX65+LHzyTRa+VRcewRu3c06cbP0lD9nkfjJw/P2ngf6acDj4rJM65L5uzoQIzGWLf2L9H47C9jWeNJMarz7el8zQJ9o2O3QNCWIZCrQNq1q1s3VzXXEyBAgAABAgQIECBAgEDvFdgQtXOuiZteXB+Vh50aJ1a3DVibov6hiXHQiV+O666dGtfNeLb1SIPkAVzzzx0bp1yehrqp3upYdPODsazDfw8/CSBnnRuHjfpSPPLa8Pja868mDUCvxtIFF8a7n7kxxp9xWcyv29BmC/rEoJNvjWdXPRs3HplGmv1i9PRnM01DtavmbjHUTSepqBoXdzz3cvxq+lGR5ouVR06PXyVNgbWrXt4k1M21rnT2Lb8ync/jJsfDcXbM/XVynyt/EOcPeiYu2uujMf6ZPlHVwREXTXWPxZWf/GgcOeWZiDHfiaWZWl+NX03bPR6+/Ir4Xgfn1m4c87H4wmP/EJ+6f1nG87mv9Y07rrsxpp31qbjsR/8QI4ZtEuompTf+31/Gz9P92r26w1oimjudR46Jq559Oz56zZKNe/XQF2Lf+kVxXXJv8+s72uS/RUP9W8nwxDk9v7eEXzp289ic7urcy6OEToeqrVOaLX5RSm7ZTt1swaVUW7am7M9Sra1U60rdSqE2/5//7F+wnwQIECBAgAABAgQI9AiB+sdi2g3PJf9q/tA47wvHbNKtWxEDTv5eLD+5IZZcfmyMn7tr85EGycPMJp8X05tOitlLJsZhDd+O0SfeEav/vDYa/p6otH1GWRoAT/xMXPbEX2LfiTPj7kkHt3Sf9ht+Tky77PkYmXTmTvnmqDi8pRO4Wbar3aUdbkTrkQOjOzpyIJ+6Olwv/fDtWPbgg1HTmHQGH398jMiEuBUx6KjL4mvjfx7/Xv/R2KetTXIabcPSW+Izp8+MNw+7LB6895wYng1+m1bGgvvSfamIla8lHbZtOm83diR/LV4adk3cN2NcDGqes9+I4+OYNSfEdcs2JGH2kNiz3Vob6/vN879OotvK2OP4j8Wwzb7Pdkr/NN49cU4sbLtXw/aPvZLrX9rQEGvfSjZ5s67jP0Xt8qTOeH+6UEm/dOyW9PYojgABAgQIECBAgAABAgQIECBAYOsCb0fN7JmxOG2w3GN0HNVBh+fGOd6OdfVJR22f/eKAfd4VtbMujqsbzo37vpc8ZK3NEQqbP4wrDYA/l4S6q6Ny/wtj+qWtoe7GeSti1/79Mznwxn+Fv33F2e7SysOOicM3CxLbX7vZb42vxK+eTY8cOKCDIwfyq2uztVo+aO5aTQLbN1e2PWt2p9jngP8TRxz4oUwHcfbyTHfv6bfF8r3Pi+9MbxPqphes/128+ockgh3273H+kW2OTGhYFFcmx0w8/d6L4942oe7GOd8T1Xtt7HDu8Pzcppdj0Y/S40yr4rij926Xv0caMmcenveTiKOvils22aum3/wqfpE2VXd21nHj7+PVFW27rjdWVIr/KdgtxV1REwECBAgQIECAAAECBAgQIECAQNcFWoK+zjo4m6dq7pytHDki9lx2e0xadFjMaQkVky7VJxYnBzH0ib0O2qdNx28aFN4cV819PQlXD4pLb/x0VG/WIbqlUt+ObHfp7kM/0NLlu6URbb9rCSI3O3Ig37rarrLp+11i2IH7JuFtY6yZ+/W44qHaJC7d+Koc/ZXk/OH3tg7InmvcODTOuWZic3dv69fR76iY9tyKWP7DS9p8lwTSU6+NefUjOvHMds2+J4Z8MA1427+alj0ZC9NjEjIB/SbHNDQsjmlTHow1lSPis5M+2dIFnJmh4Rcx/Wv3JXv8gTj160kA3dE+rn41lqe5bp+qqN6jhA/YTUoU7Lb/u/AbAQIECBAgQIAAAQIECBAgQIBAuQm88WL8PHMeakcdnNmbSc7Zffrx+FljZew+4JWYcc3q+NT1bUPahqhb8afk4j2bj2loHpccJfDgbenDzypj4InnJA8+a3t2b3buxvh9bV1yNEAHr5bQeUu1dTAu81E2bO4gsM63rs6WzHyeHF0xdlJMPXqP5LfkzOErLovpS+s7GJGYPvytjecaH3lefK7NMQsdXNzyUVPNnLh67h8696z/Tfzy5USzw+7rJNB+rTb+mMy2eWd10rk986aYlz6Ard05y8mYmlkx4ZizY+bLVXH6rLvi2tHvbqmn9U1yPy8+H8vTD/55t+hX4slpiZfXyuodAQIECBAgQIAAAQIECBAgQIAAgc0F2oRxHQaB2RH/L9549fXMWa//+8wLseNFU+KkNscvRPYc3E3maFr2SPxH8kC29F/7P+GMkZ103L4ZLz63MrPQZmFjNnTuqLs0W1qnP1fH0mffSL4dEAcfUN3uyIG86+p0zeYvKqrjpBtuiPOG7ZI8qawmZl5w9SYPhkuua/p13Hnz04lpv+jwyIQO1/hDPHLbA0lc3JlnNoBPgtsPdXS+buuZw5utWf94fHf2imTV5noaamL+rJlxw+eOiBEn3po5/3f2Ez+Ia4+qamfZWmZ27qRh95BNzxFuvapU3gl2S2Un1EGAAAECBAgQIECAAAECBAgQILANAn+P9WsbknBxK2FcS+fshqj/17PjsnYdm9kwcdPO2Nbu0Kj8QAze8x87ri8bCmcDxZarWkPnzQLflmu28CbbuVq5b3z035KAteWVb10tE235Tb+D45JvXxVHDUyOJFiTPhjusWjXt9vweqz8Yyrf8ZEJHU6etdokQG+5dmthcXZ8B2cON72xMlak5URDLL5kZFQfc3u8mhxYsNvIr8dTtcvi4RsmtDtLuWXN7Jvs3Mk+HrLJOcLZS0rpp2C3lHZDLQQIECBAgAABAgQIECBAgAABAjkK/E/UrfxdMqZPDBnyvnYP9Wo3UTaETM/JnTKmzRm66VXZTs2dY+jgf2nTzdkaGsfeB8T+HT74LDkv9vrvbHxw28Bj41NtHxDWMm8uHa3ZqrNhc9K5utlD1/KtK7vGJj+blsYN594Vq9p8XFF1ckybekoMTD5rfOqBWFCXSU43XvFWfbyZ+fWfYrd+nZ1Hm4TQy5bFquZDelseJNdhN259LL15Riz8f+n0Q+LA/Tc/LiE7Pjo6c7j5iIaoPCpuXPpq1D43Oy6fMCHGnzOq3Vm7TQ0NkfZgt3+1esdm+9j+ylL5TbBbKjuhDgIECBAgQIAAAQIECBAgQIAAgTwE+sVe1e/pZHxraNf+7NXmy5v+O1595X+SBPWAOPaI3dvM8a7YZbd+nYfFyZVNtQ/H7QuSB6ulD+Sa+uUY1a/NE7my8+bS0dqyevboiORM4M0eupZnXS1rbPImDb9/sTzaZreRxNz9Dj85Tsg8SOx38Wpd4rTZa3k8/mTrA9Zav94QqxbdFNOe+J/YyLKFs4iTXuCaWd+MWX0Pi2PTxug9RsSIPTcNi1sfRLfH8R+LYRXJvi5+IB6p2+R048bX49U3MulwaymZd2k918TJh14XL7TJpzdelA33k67tE0+Ow9ru4yazlMqvgt1S2Ql1ECBAgAABAgQIECBAgAABAgQI5CHw/hhctXMn47Mh6dA45wvHbNKtm4Szy56MhcnD1zKdsRW/iLseWhEbG0yTh4gdcUwcmuaLLz8fL9Y3t51mV2lYFFeeeWPUNO4RR02/c7MHcmXnzT4ErKn2rjh/yqLkoIAuvFqOjmh+6FrT8ph97jdiSUNaQ351dbZ65iiD9b+Mn/zszY4v2fRIiD33j0Myge/6qLlhUlw5t6bl3prqlsTsyz8bl754WFxx6cHJ4QbpqzWQbnzmnvjWorqMc1PdovjW5z4V16wdF9ce+N/x43Qv0o7e5DFmd93U5viHTU0anok7n989Ds+cldzGJFbEzIlfjG8t3jh/uvLGek6LYz7/f+OQuy+PUZtkxk21C+P7zyQ7M/CUuPq8/dp0baejS/Ml2C3NfVEVAQIECBAgQIAAAQIECBAgQIBAlwR2jqoh70+6bfvFbrt2EnVlA8EOz8ltjN+9sDR5mFcSl/arjxd+2Bijxg5tDfYGjIkrLj8oKhufjumXz4maTLCadH4uvjkmHHNBzIvD4oI598btJ7d/uFkSJUZD89EA6YO49n7jJ/HtBf8cV3zjqOaQcys3lz06In3o2t5/jCdvXhTvnnxZa0fwNtfV2brZel+PeVMmt4aiTXXx5Fe+HnNW7x5HTZsUJ7Q9jqLiX2Pclz+eOaYhGpfFvMtPihGDqqI6+WfoqC/FowO+GLMnZUPddN024Wty/QMTRsfQzLWXxDNDr467J300ImOWdinvHLU3z4s4cXRrEJ99EF061d9fjUfu+kucfOmoVs+sSfr9mqfi9nM2zr+xnvPirvojYsYT34/LRwxIr2jzejOemXlfEtB30HXd5qpSe9vJX3uplakeAgQIECBAgAABAgQIECBAgAABAh0JVMb7qquiT0X/6L9rm2MQ2l6aDUk7PCc320W6Swz5x/fFh85sfx5renZv9YS74vE5l8Whb94ap+w3OAku945jblkTHzl3Zjz17Oy4eHRVaxDcsm5yhMF+B8Q+SWfohrlfjQsfelec9OXj25312nJpR2/6fTgO3Dd5YNqGBXHVBQ9HxckT4oRMZ2r24m2tKzt+059JV3PdP8elT/02ls74ROz8+EXxr2lIW/3x+NofD4pJHYbXfWLQyTfGfXOmxKnDsg93q4yBR54fNy5YEg+3C3Wb1xtwQtw4d0qMTh/Ilrwqh42LyXMeiYear63o/89JkNsYf3z2p/H6kZ+Pz1b3aR6Y/Og/KPbKjHs7Vi75Y/zbF8dGdbstT01ui/unn98yf8Quse+4i+OqOT+JZ+5MjspoZ7hx6o3HafwhBo67Mq5o91C91qVL8d0O7ySvUixMTQQIECBAgAABAgQIECBAgAABAgS6JFA/PyaMfDyOfXZGnNS2o7RLg13UqwXSIy5OHRc3xYWxcN6ETYLi0pbRsVva+6M6AgQIECBAgAABAgQIECBAgACBrQkMOCiOHdnQyQOztjbY971XYEPUzrkmbv7fs5Ou43PKKtRN90yw23v/ct05AQIECBAgQIAAAQIECBAgQKCHCLw3TvjCgfHiEy83P/Ssh9yW29iOAsmZwktvj0k//kjce+9FMaJfuzMdtuO63Te1YLf7LM1EgAABAgQIECBAgAABAgQIECBQJIGKYUfE/kufjmVNRSrAsmUkkIa634nLZu4aV84pz1A3xRbsltGfnFIJECBAgAABAgQIECBAgAABAgQ6EajYLz532t9iybK3O7nAxwRSgQ2xatFNMe3hD8WVMybE8DLs1M3uo2A3K+EnAQIECBAgQIAAAQIECBAgQIBAGQtUxICxx8SuT/0yGsr4LpS+PQWSTt1n7o/5MS6u/caYGFR+py+0w9nhneTV7hO/ECBAgAABAgQIECBAgAABAgQIECBAgEBJC+jYLentURwBAgQIECBAgAABAgQIECBAgAABAgQ2FxDsbm7iEwIECBAgQIAAAQIECBAgQIAAAQIECJS0gGC3pLdHcQQIECBAgAABAgQIECBAgAABAgQIENhcQLC7uYlPCBAgQIAAAQIECBAgQIAAAQIECBAgUNICgt2S3h7FESBAgAABAgQIECBAgAABAgQIECBAYHMBwe7mJj4hQIAAAQIECBAgQIAAAQIECBAgQIBASQsIdkt6exRHgAABAgQIECBAgAABAgQIECBAgACBzQUEu5ub+IQAAQIECBAgQIAAAQIECBAgQIAAAQIlLSDYLentURwBAgQIECBAgAABAgQIECBAgAABAgQ2FxDsbm7iEwIECBAgQIAAAQIECBAgQIAAAQIECJS0gGC3pLdHcQQIECBAgAABAgQIECBAgAABAgQIENhcQLC7uYlPCBAgQIAAAQIECBAgQIAAAQIECBAgUNICgt2S3h7FESBAgAABAv9/O3ZIBAAAw0DMv+sKeAMFoUW7jD0BAgQIECBAgAABAgQIEKiAsFsTCwECBAgQIECAAAECBAgQIECAAAECBK4FhN3r9ziOAAECBAgQIECAAAECBAgQIECAAAECFRB2a2IhQIAAAQIECBAgQIAAAQIECBAgQIDAtYCwe/0exxEgQIAAAQIECBAgQIAAAQIECBAgQKACwm5NLAQIECBAgAABAgQIECBAgAABAgQIELgWEHav3+M4AgQIECBAgAABAgQIECBAgAABAgQIVEDYrYmFAAECBAgQIECAAAECBAgQIECAAAEC1wLC7vV7HEeAAAECBAgQIECAAAECBAgQIECAAIEKCLs1sRAgQIAAAQIECBAgQIAAAQIECBAgQOBaQNi9fo/jCBAgQIAAAQIECBAgQIAAAQIECBAgUAFhtyYWAgQIECBAgAABAgQIECBAgAABAgQIXAsIu9fvcRwBAgQIECBAgAABAgQIECBAgAABAgQqIOzWxEKAAAECBAgQIECAAAECBAgQIECAAIFrAWH3+j2OI0CAAAECBAgQIECAAAECBAgQIECAQAWE3ZpYCBAgQIAAAQIECBAgQIAAAQIECBAgcC0wt/kgsB34owIAAAAASUVORK5CYII=" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) State the magnitude of the horizontal component of acceleration of the ball after it leaves the cliff.</p>
<p>(ii) On the axes below, sketch graphs to show how the horizontal and vertical components of the velocity of the ball, <em>v</em><sub>x</sub> and <em>v</em><sub>y</sub> , change with time <em>t</em> until just before the ball hits the ground. It is not necessary to calculate any values.</p>
<p><img 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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate the time taken for the ball to reach the ground.</p>
<p>(ii) Calculate the horizontal distance travelled by the ball until just before it reaches the ground.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Another projectile is launched at an angle to the ground. In the absence of air resistance it follows the parabolic path shown below.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABjYAAAIyCAYAAABo/vOhAAAKqGlDQ1BJQ0MgUHJvZmlsZQAASImVlwdUFEkax6u7JwfSwEhmiEOQnEFyHILkaGKYIQxhGAYGFTOyqOAaUBEBRdBVEAVXJYgJEcW0CAYw7yCLiHouBkyocw0cw+3du7t3//fq1a+/rv7q6+qq9/4NAOUqWyDIgOUAyOTnCsP9PBmxcfEMvBggAA+IgAQgNidH4BEaGgRQzfR/1cd+AE32d0wnc/37/f8qeW5SDgcAKBTlRG4OJxPlU2g7zhEIcwFAuGhcd2muYJI3oqwoRAtEuWqSU6b5+CQnTnPX1JjIcC+U7wNAoLDZwhQAyH+gcUYeJwXNQ8GgbMHn8vgo26Dsykllo/NQ0HtgbmZm1iTvR9kw8Z/ypPwlZ6I0J5udIuXpd5kSwZuXI8hgL/8/l+N/KzNDNDOHDtooqUL/8Mn50DWrS88KlDI/cX7IDPO40zVNcqrIP2qGOTle8TPMZXsHzrAoPcpjhtnC2Wd5uazIGRZmhUvz8zPmB0nzJ7GknJTjEzHDyTxf1gznp0bGzHAeL3r+DOekRwTOjvGSxoWicGnNyUJf6Ttm5szWxmHPzpWbGuk/W0OstB5ukrePNM6Pko4X5HpKcwoyQmfrz/CTxnPyIqTP5qIbbIbT2AGhs3lCpesDeCAYsAEnN2nZ5L4CXlmC5UJeSmouwwM9JUkMFp9jNpdhZWFpB8DkmZv+pO/pU2cJol+fja1vBsDlvEQiOTMbC9wGwEkmAKTe2RhzOwCyagBcreGIhHnTscmtDrDoOZYFikAFaAJdYAhMgRWwA87AHfiAABACIkEcWAw4IBVkAiFYClaCdaAIlIBtYBeoANXgAKgDx8AJ0ArOgovgCrgBesE98AiIwTB4BcbARzABQRAeokI0SAXSgvQhE8gKcoBcIR8oCAqH4qAEKAXiQyJoJbQeKoFKoQqoBqqHfoVOQxeha1Af9AAahEahd9BXGIEpsCKsARvA5rAD7AEHwpHwIjgFzobz4UJ4C1wO18JH4Rb4InwDvgeL4VfwOAIQMkJHtBFTxAHxQkKQeCQZESKrkWKkDKlFGpF2pBu5g4iR18gXDA5DwzAwphhnjD8mCsPBZGNWYzZjKjB1mBZMF+YOZhAzhvmBpWLVsSZYJywLG4tNwS7FFmHLsIewzdjL2HvYYexHHA5HxzFx9jh/XBwuDbcCtxm3F9eE68D14YZw43g8XgVvgnfBh+DZ+Fx8EX4P/ij+Av42fhj/mUAmaBGsCL6EeAKfUEAoIxwhnCfcJowQJohyRH2iEzGEyCUuJ24lHiS2E28Rh4kTJHkSk+RCiiSlkdaRykmNpMukx6T3ZDJZh+xIDiPzyGvJ5eTj5KvkQfIXigLFmOJFWUgRUbZQDlM6KA8o76lUqgHVnRpPzaVuodZTL1GfUj/L0GTMZFgyXJk1MpUyLTK3Zd7IEmX1ZT1kF8vmy5bJnpS9JftajihnIOclx5ZbLVcpd1puQG5cniZvKR8inym/Wf6I/DX5Fwp4BQMFHwWuQqHCAYVLCkM0hKZL86JxaOtpB2mXacOKOEWmIksxTbFE8Zhij+KYkoKSjVK00jKlSqVzSmI6Qjegs+gZ9K30E/R++tc5GnM85iTN2TSncc7tOZ+U1ZTdlZOUi5WblO8pf1VhqPiopKtsV2lVeaKKUTVWDVNdqrpP9bLqazVFNWc1jlqx2gm1h+qwurF6uPoK9QPqN9XHNTQ1/DQEGns0Lmm81qRrumumae7UPK85qkXTctXiae3UuqD1kqHE8GBkMMoZXYwxbXVtf22Rdo12j/aEDlMnSqdAp0nniS5J10E3WXenbqfumJ6WXrDeSr0GvYf6RH0H/VT93frd+p8MmAYxBhsMWg1eMJWZLGY+s4H52JBq6GaYbVhreNcIZ+RglG6016jXGDa2NU41rjS+ZQKb2JnwTPaa9M3FznWcy59bO3fAlGLqYZpn2mA6aEY3CzIrMGs1e2OuZx5vvt282/yHha1FhsVBi0eWCpYBlgWW7ZbvrIytOFaVVnetqda+1mus26zf2pjYJNnss7lvS7MNtt1g22n73c7eTmjXaDdqr2efYF9lP+Cg6BDqsNnhqiPW0dNxjeNZxy9Odk65Tiec/nQ2dU53PuL8Yh5zXtK8g/OGXHRc2C41LmJXhmuC635XsZu2G9ut1u2Zu6471/2Q+4iHkUeax1GPN54WnkLPZs9PXk5eq7w6vBFvP+9i7x4fBZ8onwqfp746vim+Db5jfrZ+K/w6/LH+gf7b/QdYGiwOq541FmAfsCqgK5ASGBFYEfgsyDhIGNQeDAcHBO8Ifjxffz5/fmsICGGF7Ah5EsoMzQ49E4YLCw2rDHsebhm+Mrw7ghaxJOJIxMdIz8itkY+iDKNEUZ3RstELo+ujP8V4x5TGiGPNY1fF3ohTjePFtcXj46PjD8WPL/BZsGvB8ELbhUUL+xcxFy1bdG2x6uKMxeeWyC5hLzmZgE2ISTiS8I0dwq5ljyeyEqsSxzhenN2cV1x37k7uaJJLUmnSSLJLcmnyixSXlB0po6luqWWpr3levAre2zT/tOq0T+kh6YfTJRkxGU2ZhMyEzNN8BX46vytLM2tZVp/ARFAkEGc7Ze/KHhMGCg/lQDmLctpyFVFzc1NkKPpJNJjnmleZ93lp9NKTy+SX8ZfdXG68fNPykXzf/F9WYFZwVnSu1F65buXgKo9VNauh1YmrO9forilcM7zWb23dOtK69HW/FVgUlBZ8WB+zvr1Qo3Bt4dBPfj81FMkUCYsGNjhvqN6I2cjb2LPJetOeTT+KucXXSyxKykq+beZsvv6z5c/lP0u2JG/p2Wq3dd823Db+tv7tbtvrSuVL80uHdgTvaNnJ2Fm888OuJbuuldmUVe8m7RbtFpcHlbft0duzbc+3itSKe5WelU1V6lWbqj7t5e69vc99X2O1RnVJ9df9vP33a/xqWmoNassO4A7kHXh+MPpg9y8Ov9QfUj1Ucuj7Yf5hcV14XVe9fX39EfUjWxvgBlHD6NGFR3uPeR9razRtrGmiN5UcB8dFx1/+mvBr/4nAE50nHU42ntI/VdVMay5ugVqWt4y1praK2+La+k4HnO5sd25vPmN25vBZ7bOV55TObT1POl94XnIh/8J4h6Dj9cWUi0OdSzofXYq9dLcrrKvncuDlq1d8r1zq9ui+cNXl6tlrTtdOX3e43nrD7kbLTdubzb/Z/tbcY9fTcsv+VluvY29737y+87fdbl+8433nyl3W3Rv35t/r64/qvz+wcEB8n3v/xYOMB28f5j2ceLT2MfZx8RO5J2VP1Z/W/m70e5PYTnxu0Hvw5rOIZ4+GOEOv/sj549tw4XPq87IRrZH6F1Yvzo76jva+XPBy+JXg1cTror/J/63qjeGbU3+6/3lzLHZs+K3wreTd5vcq7w9/sPnQOR46/vRj5seJT8WfVT7XfXH40v015uvIxNJv+G/l342+t/8I/PFYkimRCNhC9pQVQNAGJycD8O4wANQ4AGi9qH+QmfbEU4KmffwUgf/E0755SqhzaUS7SSvk1QHAcbQZuAMgg15PWqJIdwBbW0vbP5STbG01nYuCOkvsZ4nkvQYA+HYAvgslkom9Esn3g2ixDwDoyJ724pPCoX8ojXhXjveCvnbzteBf9HcIWQN53PJn6wAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAxtpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6dGlmZj0iaHR0cDovL25zLmFkb2JlLmNvbS90aWZmLzEuMC8iCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPHRpZmY6T3JpZW50YXRpb24+MTwvdGlmZjpPcmllbnRhdGlvbj4KICAgICAgICAgPHRpZmY6WVJlc29sdXRpb24+MTQ0PC90aWZmOllSZXNvbHV0aW9uPgogICAgICAgICA8dGlmZjpSZXNvbHV0aW9uVW5pdD4yPC90aWZmOlJlc29sdXRpb25Vbml0PgogICAgICAgICA8dGlmZjpDb21wcmVzc2lvbj4xPC90aWZmOkNvbXByZXNzaW9uPgogICAgICAgICA8dGlmZjpQaG90b21ldHJpY0ludGVycHJldGF0aW9uPjI8L3RpZmY6UGhvdG9tZXRyaWNJbnRlcnByZXRhdGlvbj4KICAgICAgICAgPHRpZmY6WFJlc29sdXRpb24+MTQ0PC90aWZmOlhSZXNvbHV0aW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFhEaW1lbnNpb24+MTU5MDwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWURpbWVuc2lvbj41NjI8L2V4aWY6UGl4ZWxZRGltZW5zaW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KZ2ryFwAAQABJREFUeAHs3WtopXleL/q/HlHf1AwI5xyoVnG7hZTXDELKGyXkIjr4Ip1UYTNM70l6UqIFbUKTwPimqqkqEITEIrGhR6biJE0Pc2pOJakgg8LkAtbxVgGZiJcK+2z3oHbw1aDWi7N95fG39l7xeXJdyVrPynqe9fnD3lnPujyXz39N272+z//3+5Z/+/eRDAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBACQS+tQTn6BQJECBAgAABAgQIECBAgAABAgQIECBAgAABAjUBwYYvAgECBAgQIECAAAECBAgQIECAAAECBAgQIFAaAcFGaabKiRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKCDd8BAgQIECBAgAABAgQIECBAgAABAgQIECBAoDQCgo3STJUTJUCAAAECBAgQIECAAAECBAgQIECAAAECBAQbvgMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAaQQEG6WZKidKgAABAgQIECBAgAABAgQIECBAgAABAgQICDZ8BwgQIECAAAECBAgQIECAAAECBAgQIECAAIHSCAg2SjNVTpQAAQIECBAgQIAAAQIECBAgQIAAAQIECBD4tkYI/vP3/adG3uY9BAgQIECAAAECBAgQIECAAAECBAgQIECAAIFTBf7bN/77qa+f9aIVG2cJeZ0AAQIECBAgQIAAAQIECBAgQIAAAQIECBDoGIGGVmxEelJftdFsktIxV+5ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgbYJ1HOGZg9oxUazgj5PgAABAgQIECBAgAABAgQIECBAgAABAgQItE1AsNE2agciQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEmhUQbDQr6PMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2wQEG22jdiACBAgQIECAAAECBAgQIECAAAECBAgQIECgWQHBRrOCPk+AAAECBAgQIECAAAECBAgQIECAAAECBAi0TUCw0TZqByJAgAABAgQIECBAgAABAgQIECBAgAABAgSaFRBsNCvo8wQIECBAgAABAgQIECBAgAABAgQIECBAgEDbBAQbbaN2IAIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBZAcFGs4I+T4AAAQIECBAgQIAAAQIECBAgQIAAAQIECLRNQLDRNmoHIkCAAAECBAgQIECAAAECBAgQIECAAAECBJoVEGw0K+jzBAgQIECAAAECBAgQIECAAAECBAgQIECAQNsEBBtto3YgAgQIECBAgAABAgQIECBAgAABAgQIECBAoFkBwUazgj5PgAABAgQIECBAgAABAgQIECBAgAABAgQItE1AsNE2agciQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEmhUQbDQr6PMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2wQEG22jdiACBAgQIECAAAECBAgQIECAAAECBAgQIECgWQHBRrOCPk+AAAECBAgQIECAAAECBAgQIECAAAECBAi0TUCw0TZqByJAgAABAgQIECBAgAABAgQIECBAgAABAgSaFRBsNCvo8wQIECBAgAABAgQIECBAgAABAgQIECBAgEDbBAQbbaN2IAIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBZAcFGs4I+T4AAAQIECBAgQIAAAQIECBAgQIAAAQIECLRNQLDRNmoHIkCAAAECBAgQIECAAAECBAgQIECAAAECBJoVEGw0K+jzBAgQIECAAAECBAgQIECAAAECBAgQIECAQNsEBBtto3YgAgQIECBAgAABAgQIECBAgAABAgQIECBAoFkBwUazgj5PgAABAgQIECBAgAABAgQIECBAgAABAgQItE1AsNE2agciQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEmhUQbDQr6PMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2wQEG22jdiACBAgQIECAAAECBAgQIECAAAECBAgQIECgWQHBRrOCPk+AAAECBAgQIECAAAECBAgQIECAAAECBAi0TUCw0TZqByJAgAABAgQIECBAgAABAgQIECBAgAABAgSaFRBsNCvo8wQIECBAgAABAgQIECBAgAABAgQIECBAgEDbBAQbbaN2IAIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBZAcFGs4I+T4AAAQIECBAgQIAAAQIECBAgQIAAAQIECLRNQLDRNmoHIkCAAAECBAgQIECAAAECBAgQIECAAAECBJoVEGw0K+jzBAgQIECAAAECBAgQIECAAAECBAgQIECAQNsEBBtto3YgAgQIECBAgAABAgQIECBAgAABAgQIECBAoFkBwUazgj5PgAABAgQIECBAgAABAgQIECBAgAABAgQItE1AsNE2agciQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEmhUQbDQr6PMECBAgQIAAAQIECBAgQIAAAQIECBAgQIBA2wQEG22jdiACBAgQIECAAAECBAgQIECAAAECBAgQIECgWQHBRrOCPk+AAAECBAgQIECAAAECBAgQIECAAAECBAi0TUCw0TZqByJAgAABAgQIECBAgAABAgQIECBAgAABAgSaFRBsNCvo8wQIECBAgAABAgQIECBAgAABAgQIECBAgEDbBAQbbaN2IAIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBZAcFGs4I+T4AAAQIECBAgQIAAAQIECBAgQIAAAQIECLRN4NvadiQHIkCAAAECBAgQIECAQBsFdnZ2jj3aX//1X6d//ud/PnjtX//1X9N3fMd3HGzHgx/+4R9OH/vYx3LPxca1a9fSlStXjjzvCQIECBAgQIAAAQIE2icg2GiftSMRIECAAAECBAgQIHABgb29vfQv//IvtU/+yZ/8ycEe/uIv/iL90z/9U237m9/8Ztre3j547TwPent70+7u7nk+cvDeq1evpp/6qZ862I59ffzjH69tZ8ORvr6+g/d4QIAAAQIECBAgQIBAcwKCjeb8fJoAAQIECBAgQIAAgSYE6qFFfRXF3/3d36VvfOMbqZmgoonTOfdH9/f308rKysHnso8Pnsw8yAYhP/uzP1t7pR6AWA2SgfKQAAECBAgQIECAwCkCgo1TcLxEgAABAgQIECBAgEBzAq9evUovX75M//AP/5D+/u//PtVXWcTKiwgFum1kg5CTQpD+/v70Xd/1XakefMSKkCiL1dPT021crpcAAQIECBAgQIDAsQLf8m//Po595dCT//n7/lPtmf/2jf9+6BWbBAgQIECAAAECBAh0u0CsvIjw4q/+6q9SfdXFST/ct8oqyj79wA/8wMHu6kFA/Yn6Soj6dv3va6+9lmLlxEmjHsYc93p9ZUn9tfq11reLDmyyocf3fM/3pO/+7u9OylzV9f0lQIAAAQIECBDodIFW5QyCjU6faedHgAABAgQIECBAoIMEYsXBRx99lOIH/PhR/8///M8v3NviuMs6rlRT/Qf8eH+ZyjXVy2zFedd7g9SDkFaX2qqHPBHuhNcP/dAPWeER8AYBAgQIECBAgEBHCQg2Omo6nAwBAgQIECBAgACB6glEiPE3f/M3tVUYf/iHf1j7cb7Z8lH1H+C/7/u+L33v935v7Uf4WHVw1iqK6un+xxXt7OzUNurhR1jHaMWKl1jh8eM//uPpR3/0R2thh9UdNVr/HwECBAgQIECAwCUJCDYuCd5hCRAgQIAAAQIECFRRoJUhRn3VRYQYH//4x5MeERf/xtTLYmV7lPzt3/5tU6tksmHHT/7kT1rZcfHp8UkCBAgQIECAAIFzCgg2zgnm7QQIECBAgAABAgQI/IdArBKIFQLRzPv3f//3L9TIOxtgxOqLKH9UplJR/6FRzkfZviYxj80EHjdv3kwRRP30T/90+sEf/MFTe5CUU8tZEyBAgAABAgQIdIKAYKMTZsE5ECBAgAABAgQIECiBQNz1/+LFi/THf/zHaXd390IljuIu/+///u9PP/ZjP1ZbgSHA6NyJj8Ajmpz/5V/+ZW2+I8A6bwmxCDmGhoZqJays6ujcuXZmBAgQIECAAIGyCQg2yjZjzpcAAQIECBAgQIBAmwTiR+w/+7M/q/2wvb29fe6yRdlSRbEKQ1+GNk1cgYdpttRYrM755Cc/mW7cuJEEHQVOlF0TIECAAAECBCouINio+AS7PAIECBAgQIAAAQKNCmRXZJw3yKj/YG0lRqPa1XlfdmXHRb83go7qfB9cCQECBAgQIECgHQKCjXYoOwYBAgQIECBAgACBDhWIHhl/8Ad/UFuNET9KNzpiNUb8vx/5kR9JP/ETP6GXQqNwXfK+i/ZeqZeu+pmf+Rnfqy75rrhMAgQIECBAgMBFBAQbF1HzGQIECBAgQIAAAQIlFYhSQl/72tfS8+fP0+LiYsNXUQ8yoin09evX05UrVxr+rDcSiFUdf/qnf1r73p2nyXz9e/cLv/ALSpn5GhEgQIAAAQIECBwICDYOKDwgQIAAAQIECBAgUE2Bzc3NWsPvlZWVWhPoRq6y/oOyIKMRLe85r8BFg46JiYn0i7/4i1ZznBfc+wkQIECAAAECFRMQbFRsQl0OAQIECBAgQIAAgXrT769+9asNr8qIEkA3b95Mggzfn8sQyAYdja4kqodvv/RLv5R6enou47QdkwABAgQIECBA4JIEBBuXBO+wBAgQIECAAAECBFopUP9heHl5udYv46x915t9u/v9LCmvX4bAeXu/xPf5U5/6VPrkJz+ZBgcHL+OUHZMAAQIECBAgQKCNAoKNNmI7FAECBAgQIECAAIFWCkSY8ZWvfCU1WmIq7nB//fXX08///M+7w72VE2FfhQq8evUqbWxspD/6oz9KX/7yl1OsSDpr1EtWDQ0N6QdzFpbXCRAgQIAAAQIlFBBslHDSnDIBAgQIECBAgED3CkS/jGi+HD/07u7ungphVcapPF4sqcB5V3MIOUo60U6bAAECBAgQIHCKgGDjFBwvESBAgAABAgQIEOgEgXqY0cjd6tErI+5SV5KnE2bOORQtEKs3vva1r6Xf+73fq61cOut4Qo6zhLxOgAABAgQIECiHgGCjHPPkLAkQIECAAAECBLpMIMpMfeELX2io9E698bcmyl32JXG5OYF6yaqvfvWrqZEG5EKOHJ8NAgQIECBAgECpBAQbpZouJ0uAAAECBAgQIFBlgfP0zIh+GWNjY+nnfu7nUpScMggQyAucZ6VTPeQYGRnJ78QWAQIECBAgQIBARwoINjpyWpwUAQIECBAgQIBAtwjUS+k8evTozJ4Zwoxu+Va4zlYLNBpyREj4qU99Sim3Vk+A/REgQIAAAQIEWiwg2GgxqN0RIECAAAECBAgQOEugXjLnt3/7t9P29vapbxdmnMrjRQLnFmg05FDi7dy0PkCAAAECBAgQaJuAYKNt1A5EgAABAgQIECDQ7QL1H1Tn5uZOpYgfVD/72c+mW7duKTN1qpQXCTQnsLa2lhrpyVEPGEdHR9OVK1eaO6hPEyBAgAABAgQINC0g2Gia0A4IECBAgAABAgQInCwQpaaikfHKysqppabcHX6yoVcIFC1QX0X1pS99qfa/1dOOF/04olzV4ODgaW/zGgECBAgQIECAQIECgo0Cce2aAAECBAgQIECgOwUa/ZFUPf/u/H646s4WaLTvTT2MjKAj/rdsECBAgAABAgQItE9AsNE+a0ciQIAAAQIECBCouMDe3l76whe+kL785S+n+HH0pHHz5s306U9/Og0NDSlrcxKS5wl0gED8b/orX/lK+vznP9/Q/6ZHRkY64KydAgECBAgQIECg+gKCjerPsSskQIAAAQIECBAoUKC+OuOsRuD6ZhQ4CXZNoA0C0SMnQssoLXfSiJUbv/qrv5qs4jhJyPMECBAgQIAAgdYICDZa42gvBAgQIECAAAECXSbQ6OqM6enp9MYbb6S+vr4uE3K5BKop0GipqvrKLKs4qvk9cFUECBAgQIDA5QoINi7X39EJECBAgAABAgRKJrC2tpbOajDc39+fxsbG0ujoqFJTJZtfp0vgPAI7OzvpyZMnaW5u7sSPxSqOz33uc+nWrVt6cZyo5AUCBAgQIECAwPkEBBvn8/JuAgQIECBAgACBLhSIO7SfPn2afvM3f/PEOvv1RuC//Mu/nHp6erpQySUT6F6BKEm3urqaHj16lHZ3d0+EiBJVv/Irv2IF14lCXiBAgAABAgQINCYg2GjMybsIECBAgAABAgS6UCDuxv6d3/mdU2vqR++Md955x+qMLvx+uGQCxwk0sooj/rnx7rvvpqGhIau6jkP0HAECBAgQIEDgDAHBxhlAXiZAgAABAgQIEOg+gSg3df/+/VPvvNY7o/u+F66YwHkEGlnFodn4eUS9lwABAgQIECDwHwKCjf+w8IgAAQIECBAgQKCLBRopNxV3WX/2s59VK7+LvycuncBFBDY3N9P777+fVlZWTvy4MlUn0niBAAECBAgQIHBEQLBxhMQTBAgQIECAAAEC3SSwt7eXvvCFL5za/PfmzZvp05/+dBoZGekmGtdKgECLBSJAXVxcTJ///OdP7NfT39+ffu3Xfs0/b1psb3cECBAgQIBAtQQEG9WaT1dDgAABAgQIECDQoEDUwY9m4KfdQR3lpjQDbxDU2wgQaFggylRtbGycWvKuvkLsrbfe0oejYVlvJECAAAECBLpFQLDRLTPtOgkQIECAAAECBGoCZ/XPiJr3n/vc55IfE31hCBBoh8BZZar04WjHLDgGAQIECBAgUDYBwUbZZsz5EiBAgAABAgQInFsg7o7+4he/mH73d3/3xIbgyr+cm9UHCBBooUCUqfqt3/qtU8viWUXWQnC7IkCAAAECBEotINgo9fQ5eQIECBAgQIAAgdME6oFGlJyKHw2PG9E/I1Zo9PX1Hfey5wgQINBWAf/caiu3gxEgQIAAAQIlFWhVsPGtJb1+p02AAAECBAgQIFBBgQgxZmZm0sc+9rE0NTV1bKgRdz5/9NFH6enTp0KNCn4HXBKBsgpcuXIlTU5OppcvX6bV1dUUvTYOj+gNdP369XTr1q0UpawMAgQIECBAgACBiwl8y7/9+2jko61KUho5lvcQIECAAAECBAh0l8BZpVzq/TPix8B4bBAgQKAMAtEb6Etf+lKKQOO4EeHHu+++m0ZGRo572XMECBAgQIAAgcoJtCpnEGxU7qvhgggQIECAAAEC5RHY2dlJT548ObE2fT3Q0BC8PHPqTAkQOCoQ/6yL0noCjqM2niFAgAABAgS6S6BVwYZSVN31vXG1BAgQIECAAIGOEIgf+WL1RZRkmZubO3JOcRdzlHKJklNR2iVKvBgECBAoq0D0AoryeS9evEhRTu/w2N3dTaOjo+kTn/hEilUeBgECBAgQIECAwOkCgo3TfbxKgAABAgQIECDQQoFsoHHcncv1QOPrX/+60iwtdLcrAgQ6QyACjtnZ2Vpoe1bAsby8nKIhuUGAAAECBAgQIHBUQCmqoyaeIUCAAAECBAgQaLHAWWVYbt68mT796U8LM1rsbncECHS2QKP9hZTj6+x5dHYECBAgQIBA4wKtKkUl2Gjc3DsJECBAgAABAgTOKdBIoPG5z30uxV3MBgECBLpVIAKOxcXF9PnPfz7F48Mj+g39xm/8RhobGzv8km0CBAgQIECAQKkEWhVsKEVVqml3sgQIECBAgACBcgicVXIqVmhErfmoOS/UKMecOksCBIoTiODi7t276eXLl2l+fj7FdnZE2DE+Pq4HRxbFYwIECBAgQKCrBQQbXT39Lp4AAQIECBAg0FoBgUZrPe2NAIHuErhy5UqanJw8MeDQZLy7vg+ulgABAgQIEDhZQLBxso1XCBAgQIAAAQIEGhSIu4lnZmbS9evX03FNwa3QaBDS2wgQIPDvAgIOXwMCBAgQIECAwOkCgo3TfbxKgAABAgQIECBwikA90HjttdfS3NzckXcKNI6QeIIAAQINCxwOOA5/MLuCY3Nz8/DLtgkQIECAAAEClRUQbFR2al0YAQIECBAgQKA4gVevXtVWaAg0ijO2ZwIECNQF6gHHRx99lKanp+tPH/yNgGNoaCjdunUrRUlAgwABAgQIECBQdQHBRtVn2PURIECAAAECBFooEIHGwsJCunbt2rErNHp7e9Pq6qqm4C00tysCBAjUBaKp+OzsbDop4IhSgFESUMBRF/OXAAECBAgQqKqAYKOqM+u6CBAgQIAAAQItFqgHGlNTUylKUGVHPdD4+te/nkZGRrIveUyAAAECLRZoNOCI3keH/3nd4lOxOwIECBAgQIDApQgINi6F3UEJECBAgAABAuURWFtbS5/4xCfScYFG/LgWKzQEGuWZT2dKgEB1BOoBx8uXL1P0NDo8ovdRlAyMgCNW3BkECBAgQIAAgaoICDaqMpOugwABAgQIECDQYoGo0z4wMJBGR0dT1G/PjvgxbX5+PsWPaVZoZGU8JkCAQPsFenp6aiUAX7x4cWLAESUEY+WdgKP98+OIBAgQIECAQOsFBButN7VHAgQIECBAgECpBfb29mr12aNO+/b29pFrqQcak5OTKRraGgQIECDQGQJ9fX21gGNjYyNFicDsiJJUsfIuAo5YiWcQIECAAAECBMosINgo8+w5dwIECBAgQIBACwXiR68oVxI/ekUD2sNjenq61rBWoHFYxjYBAgQ6S2BwcLBWIjBKBR4XcMRKvCgxGCvzDAIECBAgQIBAGQUEG2WcNedMgAABAgQIEGihQJQlifIkcadv1GM/PKJue5Scmp2dTVGCyiBAgACBcghEqcDnz5/XSgce/ud3lBiMlXm3bt1KsVLPIECAAAECBAiUSUCwUabZcq4ECBAgQIAAgRYLRDmSGzduHNsYvL+/P0W99qdPn6ao324QIECAQPkEomRgrLSLgDpW3h0esUIvVuppMH5YxjYBAgQIECDQyQKCjU6eHedGgAABAgQIEChI4LTG4FG2JMqXbG1t1VZxFHQKdkuAAAECbRSIgCNW3n300UdnNhhv42k5FAECBAgQIEDgQgKCjQux+RABAgQIECBAoJwC0Ufj9u3btfIjhxuDR5mSaAweZUuifIlBgAABAtUTiH/Wx0q8WJEXK/Oyo95gPPpvbG5uZl/ymAABAgQIECDQUQKCjY6aDidDgAABAgQIEChGoN5H47XXXkuLi4tHDhLlSaJMicbgR2g8QYAAgUoKRF+lWJkXK/SO678xNDSk/0YlZ95FESBAgACBaggINqoxj66CAAECBAgQIHCiQLaPxuE3ZRuDR5kSgwABAgS6SyBW6EWwHSv2Dgcc9f4bDx8+TBGQGwQIECBAgACBThEQbHTKTDgPAgQIECBAgECLBfb29mp3246Ojqbd3d3c3qOPxsbGhsbgORUbBAgQ6E6BeoPx6L80MTFxBOHevXu1BuPLy8tHXvMEAQIECBAgQOAyBAQbl6HumAQIECBAgACBAgXirtq4u/batWsp7rbNjnofja9//etpcHAw+5LHBAgQINDlAvF/Ix4/fnxi/43x8fE0MDCQIgAxCBAgQIAAAQKXKSDYuEx9xyZAgAABAgQItFgg7qaNQCPurj08oo9G/BgVfTQMAgQIECBwksBp/Te2t7fT9evX08zMTIpm4wYBAgQIECBA4DIEBBuXoe6YBAgQIECAAIEWC0RgEXfRxt20h39o6u/vr919Ozs7e6R+eotPw+4IECBAoEIC9f4bDx48OHJVc3NzKQKQhYWFI695ggABAgQIECBQtIBgo2hh+ydAgAABAgQIFCgQZafirtm4ezbuos2OKCmyurqatra2aj8+ZV/zmAABAgQINCIQ/Tfu3r1bazB+8+bN3EciSJ+amkqf+MQnlKfKydggQIAAAQIEihYQbBQtbP8ECBAgQIAAgYIE6mWn4q7ZwyPurn358mWKu20NAgQIECDQrEBPT096+vRp2tjYSL29vbnd7e7uHpSnisDdIECAAAECBAgULSDYKFrY/gkQIECAAAECLRbY29tLt27dOrbsVNxNG4FG3F0bd9kaBAgQIECglQKDg4Pp+fPnaX5+/shuI2iPPk8RvBsECBAgQIAAgSIFBBtF6to3AQIECBAgQKCFAnEX7MOHD2s/Gq2srOT2XC87FXfTxl21BgECBAgQKEoggvPJycn00UcfpePKU0W/p+j7FP2fDAIECBAgQIBAEQKCjSJU7ZMAAQIECBAg0GKBzc3NWqBx7969I3tWduoIiScIECBAoA0CEarXy1PF4+yIvk/R/ykCeeWpsjIeEyBAgAABAq0QEGy0QtE+CBAgQIAAAQIFCURj1ig7NTQ0lOJxdvT39ys7lQXxmAABAgQuRSDKU0UZxAjaD48I5KM8VQT0BgECBAgQIECgVQKCjVZJ2g8BAgQIECBAoMUCCwsLqa+vLx1XdmppaSltbW0pO9Vic7sjQIAAgYsJRHmq6O8UAcdx5akioI+g/nBIf7Gj+RQBAgQIECDQ7QKCjW7/Brh+AgQIECBAoOMEoiZ51Cafmpo68gPQxMRE7UejsbGxjjtvJ0SAAAECBKLPU5SnigD+cHmqCOojsI/g3iBAgAABAgQINCMg2GhGz2cJECBAgAABAi0UqDcHj5rkUZs8O3p7e9OLFy/S48ePU9wVaxAgQIAAgU4WiAA+Vm9EIJ8dsWIjgvsI8Pf29rIveUyAAAECBAgQaFhAsNEwlTcSIECAAAECBIoTiNrjN27cSMc1B5+fn0/Pnz+v3eVa3BnYMwECBAgQaK1ABPERyEcwHwF9dkSAH703NBfPqnhMgAABAgQINCog2GhUyvsIECBAgAABAgUIxCqN27dv15qD7+7u5o4QNcrjbtfJyUmrNHIyNggQIECgTAJRfioC+gjqD48I9CPYjzKMBgECBAgQIECgUQHBRqNS3keAAAECBAgQaLHA2tpa7W7VxcXF3J6jJnnUJo8a5VGr3CBAgAABAmUXiNUbEdRHYN/f35+7nAj2owxjBP0R+BsECBAgQIAAgbMEBBtnCXmdAAECBAgQINBigagvfuvWrTQ6Onpsc/C4a1Vz8Baj2x0BAgQIdIRABPZbW1vHNhePoD/KU0V5RoMAAQIECBAgcJqAYOM0Ha8RIECAAAECBFossLy8XOuVsbKykttzrNLY2Nio1SKPxwYBAgQIEKiyQAT4EeRH2cXsiPB/aGjI6o0siscECBAgQIDAEQHBxhESTxAgQIAAAQIEWi9QX6UxPj5+ZJXG9PR0rTTH4OBg6w9sjwQIECBAoEMFIsiPsosR7B8O9eurN+KGAIMAAQIECBAgcFhAsHFYxDYBAgQIECBAoMUCCwsL6bXXXkuHV2n09vamFy9epNnZWc3BW2xudwQIECBQHoEI9qP3xsTERO6k46aAuCEgyjfGY4MAAQIECBAgUBcQbNQl/CVAgAABAgQItFhgb28vDQwMpKmpqSN7fvDgQXr+/HmtLNWRFz1BgAABAgS6TCCaiz9+/PjY1RtxY0BfX1+yeqPLvhQulwABAgQInCIg2DgFx0sECBAgQIAAgYsKxCqNaIC6vb2d20V9lcbdu3et0sjJ2CBAgAABAinVV2/EDQDZYfVGVsNjAgQIECBAQLDhO0CAAAECBAgQaKHAaas05ufnrdJoobVdESBAgEA1BWL1RtwAEOUa44aA7LB6I6vhMQECBAgQ6F4BwUb3zr0rJ0CAAAECBFoscNIqjf7+/lrt8MnJSas0WmxudwQIECBQXYEoPxVlG63eqO4cuzICBAgQIHBRAcHGReV8jgABAgQIECDwvwSiPEY0Nj2ul0as0tja2ko9PT28CBAgQIAAgXMKWL1xTjBvJ0CAAAECXSIg2OiSiXaZBAgQIECAQDEC0cg07iiN0hjZkV2lkX3eYwIECBAgQOD8Amet3rh9+3Z69erV+XfsEwQIECBAgEApBQQbpZw2J02AAAECBAhctkB9lcb4+HiKx9kRJTOs0siKeEyAAAECBJoXOG31xuLiYrp27Vra3Nxs/kD2QIAAAQIECHS8gGCj46fICRIgQIAAAQKdJrC2tnbsKo1ocBqNTqPhqUGAAAECBAgUI1BfvTExMZE7QNxoMDQ0lKzeyLHYIECAAAEClRQQbFRyWl0UAQIECBAgUIRAlLiIH0tGR0ePXaURDU7jxxaDAAECBAgQKFYgVm88fvw4bWxspKtXr+YOVl+9sbOzk3veBgECBAgQIFAdAcFGdebSlRAgQIAAAQIFCkRpiyhxET+WZEd2lUb8yGIQIECAAAEC7RMYHBxML1++TMet3rh+/Xp6+PCh3hvtmw5HIkCAAAECbRMQbLSN2oEIECBAgACBMgrEKo34USRKWxzupRE/olilUcZZdc4ECBAgUCWB01Zv3Lt3Lw0PD6e9vb0qXbJrIUCAAAECXS8g2Oj6rwAAAgQIECBA4CSB+BHkxo0bKX4UyY4oeRGlL6IEhlUaWRmPCRAgQIDA5QnE6o0oP3Xz5s3cSWxvb9dWXS4sLOSet0GAAAECBAiUV0CwUd65c+YECBAgQIBAgQLx40eUntrd3c0dJVZpRMmL+PHEIECAAAECBDpLIG4+ePr0aVpaWjpyYlNTU+nWrVtHVmAeeaMnCBAgQIAAgY4XEGx0/BQ5QQIECBAgQKCdAlFuamBgIMWPH9kRP5TEjyRWaWRVPCZAgAABAp0pMDY2VrsRob+/P3eCKysrqa+vL62treWet0GAAAECBAiUS0CwUa75crYECBAgQIBAgQLxI0f82BElK7IjfhSJ0hbxI4lBgAABAgQIlEOgp6cnbW1tpfn5+dwJx00Mo6Oj6fbt2xqL52RsECBAgACB8ggINsozV86UAAECBAgQKEggGoTHjxvxI8fhBuHxY0j8KBIrNgwCBAgQIECgfAKTk5PpxYsXqbe3N3fyi4uLtV5acfOCQYAAAQIECJRLQLBRrvlytgQIECBAgECLBeLHjGgQHj9uZEf8+BE/gsSPIQYBAgQIECBQboFYkfn8+fMUvbKyI3ppXb9+PWksnlXxmAABAgQIdL6AYKPz58gZEiBAgAABAgUJxI8Y8WPG4Qbh09PTtR8/4kcQgwABAgQIEKiGwJUrV2q9slZXV4+sxIzeWtFj6/DKzWpcuasgQIAAAQLVExBsVG9OXREBAgQIECBwhsBpDcI3NjbS7Oxsih8/DAIECBAgQKB6AiMjI7XeWYcbi0ePLY3FqzffrogAAQIEqikg2KjmvLoqAgQIECBA4ASBzc3NYxuE37x5s/Yjx+Dg4Amf9DQBAgQIECBQFYHonXVaY/GZmRmNxasy2a6DAAECBCopINio5LS6KAIECBAgQOCwQDQIjx8phoaGjpSZiAbhT58+PVKW4vA+bBMgQIAAAQLVEjipsfjc3FytB9fe3l61LtjVECBAgACBiggINioykS6DAAECBAgQOFkgfpQYHh5O8SNFdmgQntXwmAABAgQIdKfAaY3Fr127lpaXl7sTxlUTIECAAIEOFhBsdPDkODUCBAgQIECgeYH4MSKagUbd7OyYmJjQIDwL4jEBAgQIEOhigXpj8aWlpSMrOMfHx9Pt27eVpuri74dLJ0CAAIHOExBsdN6cOCMCBAgQIECgBQJReip+hIgfI6JZeH1ETe340eLx48cahNdR/CVAgAABAgRqAmNjY7XeG4cbiy8uLqZYvbGzs0OKAAECBAgQ6AABwUYHTIJTIECAAAECBForEKWnbty4keJHiOyIHymiUWj8aGEQIECAAAECBI4T6OnpSevr6+nBgwe5l+NGievXr6eFhYXc8zYIECBAgACB9gsINtpv7ogECBAgQIBAgQJReiruqNzd3c0dZXp6uvYjRfxYYRAgQIAAAQIEThOI0lR3795NGxsbR0pTTU1NpVu3bilNdRqg1wgQIECAQMECgo2Cge2eAAECBAgQaI9AtvRU9ohRemp1dTXNzs4qPZWF8ZgAAQIECBA4U2BwcLBWfupwaaqVlRWlqc7U8wYCBAgQIFCcgGCjOFt7JkCAAAECBNokcFrpqaiFPTIy0qYzcRgCBAgQIECgagJxk0SUslSaqmoz63oIECBAoMwCgo0yz55zJ0CAAAECBNJJpafix4f4ESJ+jDAIECBAgAABAs0KKE3VrKDPEyBAgACB1gkINlpnaU8ECBAgQIBAGwVOKz0V9bDjxweDAAECBAgQINBKAaWpWqlpXwQIECBA4OICgo2L2/kkAQIECBAgcEkCZ5Weih8dDAIECBAgQIBAEQJKUxWhap8ECBAgQOB8AoKN83l5NwECBAgQIHDJAmtra7Vmnbu7u7kzUXoqx2GDAAECBAgQKFjgtNJUt2/fTrG61CBAgAABAgSKERBsFONqrwQIECBAgECLBeLHgZmZmTQ6Oprbc9w1ubq6qvRUTsUGAQIECBAg0A6Bk0pTLS4uphs3bqRYZWoQIECAAAECrRcQbLTe1B4JECBAgACBFgvEjwLDw8Npbm4ut+f+/v5ag/CRkZHc8zYIECBAgAABAu0SOKk0VawuvXbtWorVpgYBAgQIECDQWgHBRms97Y0AAQIECBBoscDm5mYaGBhI29vbuT1PT0+n9fX11NPTk3veBgECBAgQIEDgMgSiNFWsIo2gIztitWmsOlWaKqviMQECBAgQaE5AsNGcn08TIECAAAECBQo8fPgwDQ0Npf39/YOj1EtPzc7OpitXrhw87wEBAgQIECBA4LIFYhXp1tZWilWl2RGrTmP1qdJUWRWPCRAgQIDAxQUEGxe380kCBAgQIECgIIG4o/HWrVvp3r17uSP09vYqPZUTsUGAAAECBAh0mkCsJo1VpbG6NDti9WmsQo3VqAYBAgQIECDQnIBgozk/nyZAgAABAgRaLBB3MkY96pWVldyeJyYm0vPnz5WeyqnYIECAAAECBDpRIFaVxurSpaWl3OnFKtRYjRqrUg0CBAgQIEDg4gKCjYvb+SQBAgQIECDQYoHl5eVaqJEtPRWHmJ+fT48fP1Z6qsXedkeAAAECBAgUKzA2NpZevnyZYtVpdsSq1Fidqu9GVsVjAgQIECDQuIBgo3Er7yRAgAABAgQKEoj/qI+mmuPj47kjRD+NFy9epMnJydzzNggQIECAAAECZRGI0lSx6vTmzZu5U47VqTdu3NB3I6digwABAgQINCYg2GjMybsIECBAgACBggRidUY004ymmtkRTTd3dnZSX19f9mmPCRAgQIAAAQKlE4jSVE+fPk0PHjzInfvu7m5ttera2lrueRsECBAgQIDA6QKCjdN9vEqAAAECBAgUKFAPLqKZZnZEs82tra0UKzYMAgQIECBAgEBVBO7evZs2NjaO/DvO6OhobfVqVa7TdRAgQIAAgaIFBBtFC9s/AQIECBAgcKzAwsJCun79ejrcT2N1dbXWbPPYD3mSAAECBAgQIFBygcHBwdoNHLE6NTti9erAwIC+G1kUjwkQIECAwAkCgo0TYDxNgAABAgQIFCMQ/TRu376dpqamcgeIpprRXHNkZCT3vA0CBAgQIECAQNUEou/G+vp6mpiYyF1arGK9du2avhs5FRsECBAgQOCogGDjqIlnCBAgQIAAgYIE9vb2av00FhcXc0eIZprRVDP+I98gQIAAAQIECHSDQPTdePz4cVpaWspdbqxmjXBD340ciw0CBAgQIJATEGzkOGwQIECAAAECRQlsbm7Wyisc7qcRTTSjmWb8x71BgAABAgQIEOg2gbGxsfTixQt9N7pt4l0vAQIECDQlINhois+HCRAgQIAAgUYElpeX09DQUK6fRjQGj34a0UTTIECAAAECBAh0s0BfX1/a2dlJ+m5087fAtRMgQIDAeQQEG+fR8l4CBAgQIEDgXALRT2NmZiaNj4/nPhf9NLa2tvTTyKnYIECAAAECBLpZIG76iL4b09PTOQZ9N3IcNggQIECAQE1AsOGLQIAAAQIECBQiEPWhh4eH09zcXG7/+mnkOGwQIECAAAECBA4EojTn7OzssX03BgYG9N04kPKAAAECBLpdQLDR7d8A10+AAAECBAoQiCbhUVLhcD+NuANRP40CwO2SAAECBAgQqJRA9N3Y2NjI9d2Im0ZGR0fTw4cPK3WtLoYAAQIECFxEQLBxETWfIUCAAAECBE4UWFtbS9euXcv104g3Rz+NuAPRIECAAAECBAgQOFtgcHCwVrrzcN+Ne/fupVu3bqUo+WkQIECAAIFuFRBsdOvMu24CBAgQIFCAQPTTiDsJsyPqRb98+VI/jSyKxwQIECBAgACBBgR6enpqfTcmJiZy715ZWamV/IxVsgYBAgQIEOhGAcFGN866ayZAgAABAi0WiDsG487Bw/004g7DCDXiP8oNAgQIECBAgACB8wtE343Hjx+nBw8e5D4cJT+j78bOzk7ueRsECBAgQKAbBAQb3TDLrpEAAQIECBQoEHcK3rhxI8Wdg9kR/TTW19dT/Me4QYAAAQIECBAg0JzA3bt3a6U9YzVsfUTfjevXr6fl5eX6U/4SIECAAIGuEBBsdMU0u0gCBAgQIFCMwObmZu1Owd3d3dwBlpaWav00hBo5FhsECBAgQIAAgaYERkZGan03suFG7HB8fDxFSVCDAAECBAh0i4Bgo1tm2nUSIECAAIEWC8SdgUNDQ7km4fEf2RsbG2lsbKzFR7M7AgQIECBAgACBEIgSn1Hq83BT8SgJGqWpNBX3PSFAgACBbhAQbHTDLLtGAgQIECDQYoG4IzDuDMyO3t7e2h2Eg4OD2ac9JkCAAAECBAgQaLFArIrd2tpKUfozO6LvRpQI1VQ8q+IxAQIECFRRQLBRxVl1TQQIECBAoCCBuAMw7gQ83CT85s2b6fnz55qEF+RutwQIECBAgACB4wRmZ2dTlADNjigRGv++FiVDDQIECBAgUFUBwUZVZ9Z1ESBAgACBFgvUm4THnYDZEXcKPn36VJPwLIrHBAgQIECAAIE2CUQJ0CgFmu27EU3Fo2SopuJtmgSHIUCAAIG2Cwg22k7ugAQIECBAoHwCOzs7xzYJX11drTUJL98VOWMCBAgQIECAQHUEohRolKaK0qDZoal4VsNjAgQIEKiSgGCjSrPpWggQIECAQAECa2tr6fr168c2CR8ZGSngiHZJgAABAgQIECBwXoFoKh6lQY9rKn7r1i1Nxc8L6v0ECBAg0NECgo2Onh4nR4AAAQIELlcgmoSPjo7mTkKT8ByHDQIECBAgQIBAxwic1FR8ZWUlDQ8PayreMTPlRAgQIECgWQHBRrOCPk+AAAECBCooEE3Cb9++faRJeNwBqEl4BSfcJREgQIAAAQKVEoim4vPz87lrij5p0VQ8+qYZBAgQIECg7AKCjbLPoPMnQIAAAQItFohmk3FH3+LiYm7P0SQ8ajfHnYAGAQIECBAgQIBAZwtMTk6m6Id2uKn4tWvXUpQaNQgQIECAQJkFBBtlnj3nToAAAQIEWiwQd/D19fWluKMvO+KOv7jzzyBAgAABAgQIECiPQPRDixtTsuFGnH2UGl1YWCjPhThTAgQIECBwSECwcQjEJgECBAgQ6FaBuHMvyhPEio36iP8Ijjv94o4/gwABAgQIECBAoHwC0VR8Z2fnSFPxqampFP3UDAIECBAgUEYBwUYZZ805EyBAgACBFgtEqBF37h0ONeIOv7jTzyBAgAABAgQIECivQNyssr6+nm7evJm7iLm5udqNLdFfzSBAgAABAmUSEGyUabacKwECBAgQKEAg7tSLUCM7okl43NkXd/gZBAgQIECAAAEC5ReIPmlPnz5N0TctO6IEafRX01Q8q+IxAQIECHS6gGCj02fI+REgQIAAgYIE4s6827dvp7hTLzviTr64o+9wLebsezwmQIAAAQIECBAop0D0TYtSo9kR4UaUJBVuZFU8JkCAAIFOFhBsdPLsODcCBAgQIFCQQIQacWfe4uJi7ghxB1/cyRd39BkECBAgQIAAAQLVFIhSoxFuZG9kiZKkEW5EiVKDAAECBAh0uoBgo9NnyPkRIECAAIEWC8SdeDdu3EhxZ152zM/Pp7iDzyBAgAABAgQIEKi+QIQb0U/tcLgRJUqXl5erD+AKCRAgQKDUAoKNUk+fkydAgAABAucTiL4ZcSfe7u5u7oNxx97k5GTuORsECBAgQIAAAQLVFoh+avHvh9FfLTvGx8dT9GEzCBAgQIBApwoINjp1ZpwXAQIECBBosUCUFbh+/XqKMgP1EXfovXz5MsUdewYBAgQIECBAgED3CcS/D0Z/tcPhRvRhi35sUcLUIECAAAECnSYg2Oi0GXE+BAgQIECgAIEoJxBlBbKjt7e3Vn4g7tQzCBAgQIAAAQIEulcg+qtFWarot5Yd0Y8t+rIJN7IqHhMgQIBAJwgINjphFpwDAQIECBAoUCDKCEQ5geyIO/KeP3+ehBpZFY8JECBAgAABAt0tEP3WHjx4kEOIvmwRbkSfNoMAAQIECHSKgGCjU2bCeRAgQIAAgRYLxJ11UT4gyghkx8TERK3cQNyZZxAgQIAAAQIECBDICty9ezdF/7XsiHAj+rQJN7IqHhMgQIDAZQoINi5T37EJECBAgEBBAhFqxJ11UT4gO6K8wOPHj5NQI6viMQECBAgQIECAQFYg+q9tbGyk6L9RH9GnLcKN6NtmECBAgACByxYQbFz2DDg+AQIECBBosUDcSRehRtxZlx1LS0spygsYBAgQIECAAAECBM4SGBwcrPXdOBxuRN824cZZel4nQIAAgaIFBBtFC9s/AQIECBBoo0CEGnEn3eFQI8oJjI2NtfFMHIoAAQIECBAgQKDsAtGPbWdnJ0V/tuyIcOPhw4fZpzwmQIAAAQJtFRBstJXbwQgQIECAQHECm5ubtVAjygTUR9xh9+LFixTlBAwCBAgQIECAAAEC5xWIf59cX18/Em7cu3cvzczMnHd33k+AAAECBFoiINhoCaOdECBAgACByxWIcgBDQ0PpcKixtbWV+vr6LvfkHJ0AAQIECBAgQKDUAtGfLcKN6NeWHXNzc+nWrVsp+rsZBAgQIECgnQKCjXZqOxYBAgQIEChAYHl5OUU5gOyIcgFRNiDKBxgECBAgQIAAAQIEmhWIcCP6tR0ON1ZWVmr93YQbzQr7PAECBAicR0CwcR4t7yVAgAABAh0mEMv/x8fHc2cVoUbcUZdt9Jh7gw0CBAgQIECAAAECFxSIcGNpaSn36ejvNjw8nKLfm0GAAAECBNohINhoh7JjECBAgACBAgQi1Ijl/9kRd9BFqBF31BkECBAgQIAAAQIEihAYGxtLq6uruV1HuDEwMCDcyKnYIECAAIGiBAQbRcnaLwECBAgQKEgglvnHfzQeF2rEHXRCjYLg7ZYAAQIECBAgQOBAYGRkJG1sbORWCUe/N+HGAZEHBAgQIFCggGCjQFy7JkCAAAECrRaIUCOW+ccdcdkxPz9fq3mcfc5jAgQIECBAgAABAkUKDA4Opq2trSPhxrVr19La2lqRh7ZvAgQIEOhyAcFGl38BXD4BAgQIlEcgahYfF2pEGYDJycnyXIgzJUCAAAECBAgQqIxAT09PLdzo7e3NXdPo6KhwIydigwABAgRaKSDYaKWmfREgQIAAgYIEItSIZf2HV2pEqBFlAAwCBAgQIECAAAEClyUQ4cbz589Tf39/7hQi3FhYWMg9Z4MAAQIECLRCQLDRCkX7IECAAAECBQrUQ42oWVwfV69eTS9fvhRq1EH8JUCAAAECBAgQuFSB6PO2vr5+JNyYmppKMzMzl3puDk6AAAEC1RMQbFRvTl0RAQIECFRIIGoTx0qNw6FG1DKOO+MMAgQIECBAgAABAp0iUA83pqenc6c0Nzcn3MiJ2CBAgACBZgUEG80K+jwBAgQIEChIIEKNWL6fDTVieb9QoyBwuyVAgAABAgQIEGhaIMKN2dnZdFy4cevWrfTq1aumj2EHBAgQIEDg2xAQIECAAAECnSdQDzWyZxahRizvj/9YNAgQIECAAAECBAh0skCEGzFitUZ9rKyspG9+85v+nbYO4i8BAgQIXFjAio0L0/kgAQIECBAoRiBqEMdKjewQamQ1PCZAgAABAgQIECiDQIQbq6uruVPd3t5Ow8PDVm7kVGwQIECAwHkFBBvnFfN+AgQIECBQoECEGtm72uJQsYzfSo0C0e2aAAECBAgQIECgMIGRkZFjw40bN26kvb29wo5rxwQIECBQbQHBRrXn19URIECAQIkETgo14k435adKNJFOlQABAgQIECBAICdwXLixu7ubBgYGhBs5KRsECBAg0KiAYKNRKe8jQIAAAQIFCUQDxWikeNxKjXpt4oIObbcECBAgQIAAAQIE2iIQ4cbLly/T1atXD463v78v3DjQ8IAAAQIEziMg2DiPlvcSIECAAIEWC0SoETWGo5FidszPzyehRlbEYwIECBAgQIAAgbIL9PT0pK2trWPDjZ2dnbJfnvMnQIAAgTYKCDbaiO1QBAgQIEAgK1APNaKBYnZEg8XJycnsUx4TIECAAAECBAgQqITASeHG9evX09raWiWu0UUQIECAQPECgo3ijR2BAAECBAgcETgt1Ihl+gYBAgQIECBAgACBqgpEuBErNPr7+3OXODo6KtzIidggQIAAgZMEBBsnyXieAAECBAgUJLC3t5euXbuWjlupIdQoCN1uCRAgQIAAAQIEOkogem2sr68LNzpqVpwMAQIEyiMg2CjPXDlTAgQIEKiAQIQaAwMDKRol1kf8R100UhRq1EX8JUCAAAECBAgQ6AaBK1eunBhuLC8vdwOBayRAgACBCwoINi4I52MECBAgQOC8AieFGtFAMZbjGwQIECBAgAABAgS6TeCkcGN8fDzNzMx0G4frJUCAAIEGBQQbDUJ5GwECBAgQaEZAqNGMns8SIECAAAECBAhUWSDCjbjZZ3p6OneZc3Nzwo2ciA0CBAgQqAsINuoS/hIgQIAAgYIENjc3jy0/ZaVGQeB2S4AAAQIECBAgUEqB2dlZ4UYpZ85JEyBAoP0Cgo32mzsiAQIECHSRwNraWhoaGsr11Ojv76/11FB+qou+CC6VAAECBAgQIECgIQHhRkNM3kSAAIGuFxBsdP1XAAABAgQIFCUQocbo6Ghu9xFqrK+vp1hubxAgQIAAAQIECBAgcFTgpHDj9u3b6dWrV0c/4BkCBAgQ6DoBwUbXTbkLJkCAAIF2CAg12qHsGAQIECBAgAABAlUViHBjaWkpd3mLi4tpeHhYuJFTsUGAAIHuFBBsdOe8u2oCBAgQKFBAqFEgrl0TIECAAAECBAh0jcDY2FhaXV3NXe/29rZwIydigwABAt0pINjoznl31QQIECBQkIBQoyBYuyVAgAABAgQIEOhKgZGREeFGV868iyZAgMDpAoKN0328SoAAAQIEGhZ4+PDhkZ4a09PTaWtrS0+NhhW9kQABAgQIECBAgEBeQLiR97BFgAABAikJNnwLCBAgQIBACwRmZmbSvXv3cnuKUCNqAxsECBAgQIAAAQIECDQnINxozs+nCRAgUDUBwUbVZtT1ECBAgEDbBSLUmJubyx1XqJHjsEGAAAECBAgQIECgaQHhRtOEdkCAAIHKCAg2KjOVLoQAAQIELkNAqHEZ6o5JgAABAgQIECDQrQIRbrx48SJdvXr1gCAait+4cSPt7e0dPOcBAQIECFRbQLBR7fl1dQQIECBQoIBQo0BcuyZAgAABAgQIECBwgkBfX1+tj1023Njd3U0DAwPCjRPMPE2AAIGqCQg2qjajrocAAQIE2iIg1GgLs4MQIECAAAECBAgQOFagp6fnSLixv78v3DhWy5MECBConoBgo3pz6ooIECBAoGABoUbBwHZPgAABAgQIECBAoAEB4UYDSN5CgACBigoINio6sS6LAAECBIoROC7UWFpaSrOzs8Uc0FyM7J8AAEAASURBVF4JECBAgAABAgQIEDhRQLhxIo0XCBAgUGkBwUalp9fFESBAgEArBY4LNVZXV9PY2FgrD2NfBAgQIECAAAECBAicQ0C4cQ4sbyVAgEBFBAQbFZlIl0GAAAECxQqcFGqMjIwUe2B7J0CAAAECBAgQIEDgTAHhxplE3kCAAIFKCQg2KjWdLoYAAQIEWi3w6tWrJNRotar9ESBAgAABAgQIEGi9gHCj9ab2SIAAgU4VEGx06sw4LwIECBC4dIEINYaHh9Pc3FzuXKL8lJUaORIbBAgQIECAAAECBDpCQLjREdPgJAgQIFC4gGCjcGIHIECAAIEyCtRDje3t7dzpCzVyHDYIECBAgAABAgQIdJyAcKPjpsQJESBAoOUCgo2Wk9ohAQIECJRdQKhR9hl0/gQIECBAgAABAt0uINzo9m+A6ydAoOoCgo2qz7DrI0CAAIFzCQg1zsXlzQQIECBAgAABAgQ6ViDCjZ2dndTf339wjvv7+2lgYCDt7e0dPOcBAQIECJRPQLBRvjlzxgQIECBQkIBQoyBYuyVAgAABAgQIECBwSQJXr15N6+vrwo1L8ndYAgQIFCUg2ChK1n4JECBAoFQCQo1STZeTJUCAAAECBAgQINCwwJUrV4QbDWt5IwECBMohINgoxzw5SwIECBAoUECoUSCuXRMgQIAAAQIECBDoAAHhRgdMglMgQIBACwUEGy3EtCsCBAgQKJ+AUKN8c+aMCRAgQIAAAQIECFxEQLhxETWfIUCAQGcKCDY6c16cFQECBAi0QUCo0QZkhyBAgAABAgQIECDQQQLCjQ6aDKdCgACBJgQEG03g+SgBAgQIlFdAqFHeuXPmBAgQIECAAAECBJoREG40o+ezBAgQ6AwBwUZnzIOzIECAAIE2C9y/fz9tb2/njrq6uppGRkZyz9kgQIAAAQIECBAgQKB6AsKN6s2pKyJAoLsEBBvdNd+ulgABAgT+XWBmZibNzc3lLIQaOQ4bBAgQIECAAAECBCovINyo/BS7QAIEKiwg2Kjw5Lo0AgQIEDgqINQ4auIZAgQIECBAgAABAt0qEOHG+++/n65evXpAsL+/nwYGBtLe3t7Bcx4QIECAQGcJCDY6az6cDQECBAgUKCDUKBDXrgkQIECAAAECBAiUVKCnpydtbW0JN0o6f06bAIHuFBBsdOe8u2oCBAh0nYBQo+um3AUTIECAAAECBAgQaFhAuNEwlTcSIECgIwQEGx0xDU6CAAECBIoUEGoUqWvfBAgQIECAAAECBKohINyoxjy6CgIEukNAsNEd8+wqCRAg0LUCQo2unXoXToAAAQIECBAgQODcAsKNc5P5AAECBC5FQLBxKewOSoAAAQLtEBBqtEPZMQgQIECAAAECBAhUS+C0cOPVq1fVulhXQ4AAgZIKCDZKOnFOmwABAgROFzgu1FhaWkojIyOnf9CrBAgQIECAAAECBAh0vcBJ4cbw8HASbnT91wMAAQIdICDY6IBJcAoECBAg0FqB40KN6enpNDY21toD2RsBAgQIECBAgAABApUVOC7c2N7eTsKNyk65CyNAoEQCgo0STZZTJUCAAIGzBU4KNWZnZ8/+sHcQIECAAAECBAgQIEAgIyDcyGB4SIAAgQ4SEGx00GQ4FQIECBBoTmBtbS3Nzc3ldhIrNYQaORIbBAgQIECAAAECBAicQ0C4cQ4sbyVAgECbBAQbbYJ2GAIECBAoViBCjdHR0dxBhBo5DhsECBAgQIAAAQIECFxQQLhxQTgfI0CAQEECgo2CYO2WAAECBNonINRon7UjESBAgAABAgQIEOhWgQg3nj17lrt8PTdyHDYIECDQNgHBRtuoHYgAAQIEihAQahShap8ECBAgQIAAAQIECBwn0NfXl1ZXV3Mv1cON3JM2CBAgQKBQAcFGobx2ToAAAQJFCgg1itS1bwIECBAgQIAAAQIEjhMYGRk5NtyYmZk57u2eI0CAAIECBAQbBaDaJQECBAgUL3BcqHHz5k2NwoundwQCBAgQIECAAAECXS9wXLgxNzeXhBtd/9UAQIBAmwQEG22CdhgCBAgQaJ3A3t5eevvtt3M77O/vT1/84hdzz9kgQIAAAQIECBAgQIBAUQLCjaJk7ZcAAQJnCwg2zjbyDgIECBDoIIEINQYGBtL+/v7BWUWosb6+nq5cuXLwnAcECBAgQIAAAQIECBAoWkC4UbSw/RMgQOB4AcHG8S6eJUCAAIEOFBBqdOCkOCUCBAgQIECAAAECXS4Q4cbS0lJOQVmqHIcNAgQItFxAsNFyUjskQIAAgSIEhBpFqNonAQIECBAgQIAAAQKtEBgbG0vT09O5XUW4Eb0BDQIECBBovYBgo/Wm9kiAAAECLRYQarQY1O4IECBAgAABAgQIEGi5wOzs7JFwY3R0VLjRcmk7JECAQEqCDd8CAgQIEOhogVevXqU7d+7kempcvXo1vf/++3pqdPTMOTkCBAgQIECAAAEC3Scg3Oi+OXfFBAhcjoBg43LcHZUAAQIEGhCIUGN4eDhtb28fvDtCja2trdTT03PwnAcECBAgQIAAAQIECBDoFAHhRqfMhPMgQKDKAoKNKs+uayNAgECJBYQaJZ48p06AAAECBAgQIECgywUi3JiYmMgpRFmqnZ2d3HM2CBAgQOBiAoKNi7n5FAECBAgUKCDUKBDXrgkQIECAAAECBAgQaIvAo0ePUn9/f+5Yr7/+eooeggYBAgQINCcg2GjOz6cJECBAoACBd955J1d+Kg7x7Nkz5acKsLZLAgQIECBAgAABAgSKEbhy5UpaX1/PhRv7+/tpYGBAuFEMub0SINBFAoKNLppsl0qAAIEyCMzMzKTFxcXcqa6urqa+vr7cczYIECBAgAABAgQIECDQ6QLCjU6fIedHgEBZBQQbZZ05502AAIEKCkSoMTc3l7uyCDVGRkZyz9kgQIAAAQIECBAgQIBAWQTq4UZvb+/BKddXbkQZXoMAAQIEzi8g2Di/mU8QIECAQAECQo0CUO2SAAECBAgQIECAAIGOEIhw48mTJ+nq1asH5xPhxvDwcBJuHJB4QIAAgYYFBBsNU3kjAQIECBQlsLa2dmSlxvz8vJUaRYHbLwECBAgQIECAAAECbRfo6elJW1tbuXBje3tbuNH2mXBAAgSqICDYqMIsugYCBAiUWCBCjdHR0dwVTE9Pp8nJydxzNggQIECAAAECBAgQIFB2AeFG2WfQ+RMg0CkCgo1OmQnnQYAAgS4UOCnUmJ2d7UINl0yAAAECBAgQIECAQDcIRLjx7Nmz3KXGyo379+/nnrNBgAABAicLCDZOtvEKAQIECBQosLe3d+xKDaFGgeh2TYAAAQIECBAgQIBARwj09fWl1dXV3LnMzc2l6D1oECBAgMDZAoKNs428gwABAgRaLBChxsDAQG6v/f396d133809Z4MAAQIECBAgQIAAAQJVFRgZGRFuVHVyXRcBAoULCDYKJ3YAAgQIEMgK1EON/f39g6cj1FhfX09Xrlw5eM4DAgQIECBAgAABAgQIVF3gpHBjeXm56pfu+ggQINCUgGCjKT4fJkCAAIHzCLx69aq2UkOocR417yVAgAABAgQIECBAoMoCEW5MT0/nLnF8fDxFT0KDAAECBI4XEGwc7+JZAgQIEGixQIQaw8PDKRtqXL16NX344YdWarTY2u4IECBAgAABAgQIECiXQPQaPBxujI6OCjfKNY3OlgCBNgoINtqI7VAECBDoVoF6qLG9vX1AEKHG1tZWir8GAQIECBAgQIAAAQIEul3gpHAjyvkaBAgQIJAXEGzkPWwRIECAQAECb731Vjou1Ojp6SngaHZJgAABAgQIECBAgACBcgpEuBE9CLNjYGAgCTeyIh4TIEAgJcGGbwEBAgQIFCowMzOTVlZWcsd49uxZEmrkSGwQIECAAAECBAgQIECgJrC+vp4LN6Kcr3DDl4MAAQJ5AcFG3sMWAQIECLRQIEKNubm53B5XV1dTX19f7jkbBAgQIECAAAECBAgQIPA/Ba5cuZKOCzfu3LmTosyvQYAAAQJWbPgOECBAgEBBAsvLy8eGGiMjIwUd0W4JECBAgAABAgQIECBQDYEINz788MNcT8Io7zs8PCzcqMYUuwoCBJoUsGKjSUAfJ0CAAIGjAmtra2l8fDz3woMHD5JQI0digwABAgQIECBAgAABAicKXL16NW1tbR0bbpz4IS8QIECgSwQEG10y0S6TAAEC7RLY3NxMo6OjucNNT0+nu3fv5p6zQYAAAQIECBAgQIAAAQKnC0RvwuPCjSj7axAgQKCbBQQb3Tz7rp0AAQItFtjb20uf+cxncnuNUGN2djb3nA0CBAgQIECAAAECBAgQaEwgwo333nsv9+boZSjcyJHYIECgywQEG1024S6XAAECRQlEqDEwMJD29/cPDtHf35/efffdg20PCBAgQIAAAQIECBAgQOD8AlHWd3V1NffBCDeit6FBgACBbhQQbHTjrLtmAgQItFjg1atX6Y033jgSaqyvr6doemcQIECAAAECBAgQIECAQHMCEW7Mz8/ndhK9DaPHoUGAAIFuExBsdNuMu14CBAi0WCBCjeHh4bS7u3uw52hyJ9Q44PCAAAECBAgQIECAAAECLRGYnJxMUe43O6LHYfQ6NAgQINBNAoKNbppt10qAAIECBCLU2N7ePthzhBrR3M5KjQMSDwgQIECAAAECBAgQINAygehheDjciF6HUR7YIECAQLcICDa6ZaZdJwECBAoQiGZ1x4Ua0dzOIECAAAECBAgQIECAAIFiBKKXYfQ0rI/odRg9D4UbdRF/CRCouoBgo+oz7PoIECBQkECEGtGsLjvee++9JNTIinhMgAABAgQIECBAgACB1gvECvko/3s43Ijeh1Eu2CBAgEDVBQQbVZ9h10eAAIECBJaXl4+EGqurqyma2RkECBAgQIAAAQIECBAgULxAPdyIcsD1Eb0Po1ywcKMu4i8BAlUVEGxUdWZdFwECBAoSWFtbS+Pj47m9z8/PCzVyIjYIECBAgAABAgQIECBQvECEG9HjMBtuRLngt956q/iDOwIBAgQuUUCwcYn4Dk2AAIGyCezs7KTR0dHcaUfTusnJydxzNggQIECAAAECBAgQIECgPQJRDvhwuLGyspKifLBBgACBqgoINqo6s66LAAECLRaIJnSvv/56bq8TExNpdnY295wNAgQIECBAgAABAgQIEGivQIQb0fMwO6In4sOHD7NPeUyAAIHKCAg2KjOVLoQAAQLFCUR91oGBgbS/v39wkGhS9+jRo4NtDwgQIECAAAECBAgQIEDg8gSi52H0PsyOe/fupSgnbBAgQKBqAoKNqs2o6yFAgECLBSLUiOZzh0ON9fX1FPVcDQIECBAgQIAAAQIECBDoDIEINx48eJA7mSgnvLm5mXvOBgECBMouINgo+ww6fwIECBQsEKFGNJ+rj2hK9/777ws16iD+EiBAgAABAgQIECBAoIME7t69m6IXYnZ85jOfSVFe2CBAgEBVBAQbVZlJ10GAAIECBKLZ3OFQI5rSRf1WgwABAgQIECBAgAABAgQ6UyB6IUb54PqIFfhRXli4URfxlwCBsgsINso+g86fAAECBQlEk7loNpcdH3zwgVAjC+IxAQIECBAgQIAAAQIEOlQgygcfDjfu3LmTotywQYAAgbILCDbKPoPOnwABAgUIRHO5aDKXHdGEbnBwMPuUxwQIECBAgAABAgQIECDQoQLREzHCjSgnXB+xIj/KDQs36iL+EiBQVgHBRllnznkTIECgIIFoKhfN5bIjms9FEzqDAAECBAgQIECAAAECBMojEOFGlBM+HG7cv3+/PBfhTAkQIHCMgGDjGBRPESBAoFsFot5qNJXLjmg6F83nDAIECBAgQIAAAQIECBAon0D0SHz27FnuxKPscPRUNAgQIFBWAcFGWWfOeRMgQKDFAvVmcvG3PqIeazSdMwgQIECAAAECBAgQIECgvAJ9fX0pygtnR4QbUYbYIECAQBkFBBtlnDXnTIAAgRYLRH3VN998Mx0ONaIeq0GAAAECBAgQIECAAAEC5ReI8sLz8/O5C4kyxMKNHIkNAgRKIiDYKMlEOU0CBAgUKRDN46KJXH1E/dUPP/wwRT1WgwABAgQIECBAgAABAgSqITA5OZmi3HB2vP322ynKEhsECBAok4Bgo0yz5VwJECBQgEDUVT0cahxuLlfAYe2SAAECBAgQIECAAAECBC5BIMoN37x58+DIx5UlPnjRAwIECHSogGCjQyfGaREgQKAdAgsLCynqqmbHBx98kKK5nEGAAAECBAgQIECAAAEC1RT44he/mKKnYn1EuBHliaNMsUGAAIEyCAg2yjBLzpEAAQIFCEQd1ampqdyeo5nc4OBg7jkbBAgQIECAAAECBAgQIFAtgSg7HD0VowxxfcRK/ihTbBAgQKAMAoKNMsyScyRAgECLBaJ+ajSJy44HDx6kaCZnECBAgAABAgQIECBAgED1BSLcOFyGOMKNKFdsECBAoNMFBBudPkPOjwABAi0WiFBjYGAgt9doHnf37t3cczYIECBAgAABAgQIECBAoNoCUYY4yhFnR5QrjrLFBgECBDpZQLDRybPj3AgQINBigaiX+sYbb6Son1ofUVf13XffrW/6S4AAAQIECBAgQIAAAQJdJBDliKMscXZE2eIoX2wQIECgUwUEG506M86LAAECLRaIUCPqpe7u7h7sube3t1ZXNZYgGwQIECBAgAABAgQIECDQnQJRljjKE2dHlC+OFf8GAQIEOlFAsNGJs+KcCBAgUIDA/fv3U9RLrY9oEvfkyZMk1KiL+EuAAAECBAgQIECAAIHuFYjyxFGmODuijLFwIyviMQECnSIg2OiUmXAeBAgQKFDg4cOHKeqkZsezZ89S1FM1CBAgQIAAAQIECBAgQIBACESZ4ihXXB9RxvjOnTspKgAYBAgQ6CQBwUYnzYZzIUCAQAECURf13r17uT1H/dS+vr7cczYIECBAgAABAgQIECBAoLsFYkX/+vp6irLF9REr/6OssUGAAIFOEhBsdNJsOBcCBAi0WCCWDEdd1OyIuqlRP9UgQIAAAQIECBAgQIAAAQKHBSLciLLFUb64PiLcmJmZqW/6S4AAgUsXEGxc+hQ4AQIECBQjEKFG1EPNjqiXGnVTDQIECBAgQIAAAQIECBAgcJJAlC2O8sXZEeWNFxYWsk95TIAAgUsTEGxcGr0DEyBAoDiBqH8adVCjHmp9RJ3UqJdqECBAgAABAgQIECBAgACBswSifHGUMc6OqampFOWODQIECFy2gGDjsmfA8QkQIFCAQNQ/jaXC9RH1UaNOaiwpNggQIECAAAECBAgQIECAQCMCUcY4yhlnx9tvv52iQoBBgACByxQQbFymvmMTIECgAIGoe5oNNaIuatRHFWoUgG2XBAgQIECAAAECBAgQqLhAlDOemJg4uMqoDBBlj7MVAg5e9IAAAQJtEhBstAnaYQgQINAOgeXl5RR1T7Mj6qJGfVSDAAECBAgQIECAAAECBAhcRODRo0cpyhvXR4Qab775ZooyyAYBAgQuQ0CwcRnqjkmAAIECBKLO6fj4eG7PUQ816qIaBAgQIECAAAECBAgQIEDgogJRASDKG0dFgPqISgHvvPNOfdNfAgQItFVAsNFWbgcjQIBAMQJR3zTqnGbH9PR0inqoBgECBAgQIECAAAECBAgQaFYgwo2tra1cuLG4uJgePnzY7K59ngABAucWEGycm8wHCBAg0FkCsfT3cH3TqH86OzvbWSfqbAgQIECAAAECBAgQIECg1AJR5vi9997LXcO9e/dSVBAwCBAg0E4BwUY7tR2LAAECLRaIUGN4eDjXtC3qnkb9U4MAAQIECBAgQIAAAQIECLRaICoDLC0t5XY7OjqadnZ2cs/ZIECAQJECgo0ide2bAAECBQvcv38/RV3T+oh6px9++GGKJcIGAQIECBAgQIAAAQIECBAoQmBsbCxF+ePseP3111OUSTYIECDQDgHBRjuUHYMAAQIFCCwsLKS5ubncng/XO829aIMAAQIECBAgQIAAAQIECLRIIMofR8WA+tjf30937txJUVnAIECAQNECgo2ihe2fAAECBQhE/dKpqancnldXV1PUOzUIECBAgAABAgQIECBAgEA7BNbX11Nvb+/BoaKiwFtvvXWw7QEBAgSKEhBsFCVrvwQIEChIIJb2vv3227m9P3jwIEWdU4MAAQIECBAgQIAAAQIECLRLIMogP3nyJEVZ5PpYWVlJMzMz9U1/CRAgUIiAYKMQVjslQIBAMQKxpHdgYCDXLHxiYiLdvXu3mAPaKwECBAgQIECAAAECBAgQOEUgKgd88MEHuXdE2eSoNGAQIECgKAHBRlGy9kuAAIEWC0SoMTw8nAs1op7po0ePWnwkuyNAgAABAgQIECBAgAABAo0LDA4OpqWlpdwHRkdH087OTu45GwQIEGiVgGCjVZL2Q4AAgYIF7t+/n6JeaX3EUt8PP/wwxdJfgwABAgQIECBAgAABAgQIXKbA2NhYmp6ezp3C66+/nqKcskGAAIFWCwg2Wi1qfwQIEChAYGFhIcVS3uzY2trK1THNvuYxAQIECBAgQIAAAQIECBBot8Ds7GyKygL1sb+/n+7cuZOiAoFBgACBVgoINlqpaV8ECBAoQCDqkk5NTeX2vLq6mqKOqUGAAAECBAgQIECAAAECBDpJYH19PfX29h6cUlQeeOeddw62PSBAgEArBAQbrVC0DwIECBQkEEt233777dzeHzx4kEZGRnLP2SBAgAABAgQIECBAgAABAp0gEOWSnzx5kqswsLi4mB4+fNgJp+ccCBCoiIBgoyIT6TIIEKieQCzVfeONN3LNwicmJtLdu3erd7GuiAABAgQIECBAgAABAgQqIxAVBj744IPc9dy7dy9FRQKDAAECrRAQbLRC0T4IECBQgMDw8HDa3d092HPUKX306NHBtgcECBAgQIAAAQIECBAgQKBTBQYHB9PS0lLu9EZHRzUTz4nYIEDgogKCjYvK+RwBAgQKFJiZmUlRh7Q+rl69mj788MMUS3oNAgQIECBAgAABAgQIECBQBoGxsbE0PT2dO9WBgQHNxHMiNggQuIiAYOMiaj5DgACBAgViae7c3FzuCM+ePcvVJ829aIMAAQIECBAgQIAAAQIECHSowOzsbIoKBPWxv7+fokJBlF82CBAgcFEBwcZF5XyOAAECBQjs7OykWJqbHaurq6mvry/7lMcECBAgQIAAAQIECBAgQKA0Auvr67mb9aJCwf3790tz/k6UAIHOExBsdN6cOCMCBLpUIO5aef3113NXH0t2R0ZGcs/ZIECAAAECBAgQIECAAAECZRKIsspbW1u5cCMqFSwvL5fpMpwrAQIdJCDY6KDJcCoECHSvQCzBffPNN1OEG/URS3Vjya5BgAABAgQIECBAgAABAgTKLtDT05Pee++93GWMj4+nzc3N3HM2CBAg0IiAYKMRJe8hQIBAwQLvvPNOrll4b29viqW6BgECBAgQIECAAAECBAgQqIpAVCR48OBB7nI+85nPpL29vdxzNggQIHCWgGDjLCGvEyBAoGCBhYWFtLi4eHCUq1evpidPnqRYqmsQIECAAAECBAgQIECAAIEqCdy9ezdNTEwcXFJULrhz545m4gciHhAg0IiAYKMRJe8hQIBAQQKx5HZqaiq391iaG0t0DQIECBAgQIAAAQIECBAgUEWBR48epSi/XB/RTDwqGRgECBBoVECw0aiU9xEgQKDFArHUNpbcZsf8/Lxm4VkQjwkQIECAAAECBAgQIECgcgJRoeD999/PNROPSgYPHz6s3LW6IAIEihEQbBTjaq8ECBA4VSCahb/xxhu5ZuGxFHdycvLUz3mRAAECBAgQIECAAAECBAhUQSAqFXzwwQe5S7l3715aW1vLPWeDAAECxwkINo5T8RwBAgQKFnjrrbfS7u7uwVFiCW4sxTUIECBAgAABAgQIECBAgEC3CAwODqalpaXc5b799tuaiedEbBAgcJyAYOM4Fc8RIECgQIFYWruysnJwhGgWHktwNQs/IPGAAAECBAgQIECAAAECBLpEYGxsLE1PTx9cbTQTjwoHUenAIECAwEkCgo2TZDxPgACBAgRiSW0src2OWHqrWXhWxGMCBAgQIECAAAECBAgQ6CaBd999N9dMPCocRKUDgwABAicJCDZOkvE8AQIEWiwQzcJjSW12xJLbWHprECBAgAABAgQIECBAgACBbhWICgYffvhhrpl4VDrQTLxbvxGum8DZAoKNs428gwABAk0LHNcsPJbaxpJbgwABAgQIECBAgAABAgQIdLtAlGl+9uxZjkEz8RyHDQIEMgKCjQyGhwQIEChKIJbQ/r//9b+mb//2b68dIpqFx1JbgwABAgQIECBAgAABAgQIEPifAn19fZqJ+zIQINCQgGCjISZvIkCAwMUFfv3Xfz39yf/zR+n//N//j/S/feu31pbWxhJbzcIvbuqTBAgQIECAAAECBAgQIFBNAc3EqzmvropAqwUEG60WtT8CBAj8L4F//Md/TP/lzTfT//1/PUnf+Z3fWXv2//sf/6O2tDaW2BoECBAgQIAAAQIECBAgQIDAUQHNxI+aeIYAgbyAYCPv8f+3d/+xdV33YcCPm/yxpVLauP1DZpLZsmPTrdOpciDF2WqrNBMMaLNFNIOw6QjSNK2tgmVSLNXN1SYyojCv2KTSVAVwm8KSErRFLEJTiWd1wEyxi9E2ANsKzB9dOP9M41DphlmOqRX5I7am89J3zatHiqT07tN9fJ/zR9495913zvd+DgEL+d57v3oECBC4YYFLly6FLx8/Hv7hA58Kf3LlSY1i+9GPflR4pDY+WqsRIECAAAECBAgQIECAAAECSwsoJr60i1ECBN4TuOXylfZed/mju+7YXPjylddfW/4k3xAgQKCGBWJC4/RXvhJ+b+hoiMdXt4989KPhf7z4jauH9QkQIECAAAECBAgQIECAAIElBGZmZsL27dtT3zz77LOhqakpNaZDgED1CJQrz+CJjerZc5ESIJBjgbPPnw2/9Kl/EP7tv3l6yaRGDP0LLV/I8RUIjQABAgQIECBAgAABAgQI5EtAMfF87YdoCORJQGIjT7shFgIEqk4gJjR2/NKD4cknnggLCwvXjH/z5juv+b0vCRAgQIAAAQIECBAgQIAAgbSAYuJpDz0CBH4sILHhL4EAAQLXIXD+/PnQsGNHIaHxxhtvrGqG2+puW9V5TiJAgAABAgQIECBAgAABAgTeE1iqmHhPT897JzgiQKDmBCQ2am7LXTABAjci8PJLL4dH29rD55seCX/1nb9a01Rbt25d0/lOJkCAAAECBAgQIECAAAECBEJYqpj4yMhIOHr0KB4CBGpUQGKjRjfeZRMgcP0CFy9eXPOP4z/CNAIECBAgQIAAAQIECBAgQOD6BOrq6sKZM2dSP+7u7g5TU1OpMR0CBGpDQGKjNvbZVRIgUCaBj939sfC1574ennjyyTXN+PG//wtrOt/JBAgQIECAAAECBAgQIECAQFogFhMfGhpKDba1tYX5+fnUmA4BAutfQGJj/e+xKyRAIAOB3+z9zfDVyWfDBz/4wVXNfv/9n1jVeU4iQIAAAQIECBAgQIAAAQIElhfo6uoKnZ2dyQkxqdHa2hoWFhaSMQcECKx/AYmN9b/HrpAAgYwEYs2MoWO/F374wx+uuMKHP/zhFc9xAgECBAgQIECAAAECBAgQILCywODgYGhoaEhOnJ6eDgcPHkz6DggQWP8CEhvrf49dIQECGQnEu0G++MUvhvm//n546wdvhcuXLy+70j319yz7nS8IECBAgAABAgQIECBAgACB1QvEOpbDw8Mh1t0otiNHjoQTJ04Uuz4JEFjnAhIb63yDXR4BAtkJfO5zn0ve4/nmW2+Fn/v4feHjv7B0LY3bbrstu0DMTIAAAQIECBAgQIAAAQIEakygvr4+HDt2LHXVjz76aJibm0uN6RAgsD4FJDbW5766KgIEMhbYt29fiI+6Flu8S+T06dOFwuK//a/2F4eTz02bNiXHDggQIECAAAECBAgQIECAAIEbF2hqagoDAwOpiR5++GH1NlIiOgTWp4DExvrcV1dFgECGApOTkyE+4rq4nTt3LsRHYWN7fNeuQmHxj3zkI4X+9k9+svDpfwgQIECAAAECBAgQIECAAIHyChw4cCA0Nzcnk8Zi4h0dHUnfAQEC61NAYmN97qurIkAgI4H4SOuePXtSsz/77LMhPgK7uMXC4s//tz8Mv/rZz15556fXUC22cUyAAAECBAgQIECAAAECBMopMDo6mqq3MTExEQ4dOlTOJcxFgEDOBG65Uux2+Wq3i4K9647Nhd4rr7+2aNQhAQIEakcgFgt/8MEHw+zsbHLRvb294fDhw0l/qYNLly6FDRs2LPWVMQIECBAgQIAAAQIECBAgQKAMAvFGxHvvvTc10wsvvBAaGxtTYzoECNxcgXLlGTyxcXP30eoECFSRQE9PTyqp0dDQEPr7+1e8AkmNFYmcQIAAAQIECBAgQIAAAQIEbkggvklhbGwsNUdbW5ti4ikRHQLrR0BiY/3spSshQCBDgRMnToSRkZFkhVgs/NSpU0ldjeQLBwQIECBAgAABAgQIECBAgMBNEWhvbw/xzQrFFutt7N69WzHxIohPAutIQGJjHW2mSyFAIBuBmZmZ8Oijj6YmP3nyZOr9nakvdQgQIECAAAECBAgQIECAAIGbIhDfrBDfsFBs09PT4eDBg8WuTwIE1omAxMY62UiXQYBANgKxrsbOnTtTkw8MDHhHZ0pEhwABAgQIECBAgAABAgQI5ENg48aNYXh4OHUz4pEjR8Lk5GQ+AhQFAQJlEZDYKAujSQgQWK8CHR0dIT66WmzNzc3hwIEDxa5PAgQIECBAgAABAgQIECBAIGcCsd5GfNPC4vbII4+ot7EYxDGBKheQ2KjyDRQ+AQLZCRw6dChMTEwkC8S6GqOjo0nfAQECBAgQIECAAAECBAgQIJBPgcbGxhDfuLC4tbS0qLexGMQxgSoWkNio4s0TOgEC2QlMTU2Fvr6+1ALnzp1TLDwlokOAAAECBAgQIECAAAECBPIrEN+4sLjexuzsbOjp6clvwCIjQGDVAhIbq6ZyIgECtSIQXz3V1taWutyxsbEQH2XVCBAgQIAAAQIECBAgQIAAgeoR+NrXvpaqtzEyMhKOHj1aPRcgUgIElhSQ2FiSxSABArUs0Nramqqr0dnZGdrb22uZxLUTIECAAAECBAgQIECAAIGqFIjFxM+cOZOKvbu7O8zMzKTGdAgQqC4BiY3q2i/REiCQscC+ffvC9PR0ssqWLVvC4OBg0ndAgAABAgQIECBAgAABAgQIVJfAtm3bwtDQUCronTt3qreREtEhUF0CEhvVtV+iJUAgQ4HJyclw5MiRZIVYLHx8fFxdjUTEAQECBAgQIECAAAECBAgQqE6Brq6u0NzcnAQfX0Pd0dGR9B0QIFBdAhIb1bVfoiVAICOBubm5sGfPntTsx44dU1cjJaJDgAABAgQIECBAgAABAgSqV2B0dDTENzMU28TEhHobRQyfBKpMQGKjyjZMuAQIlF9gYWEh7N69O1VXo7e3NzQ1NZV/MTMSIECAAAECBAgQIECAAAECN0Ug1tuIb2ZY3NTbWKzhmED1CEhsVM9eiZQAgYwEDh48mKqr0dDQEPr7+zNazbQECBAgQIAAAQIECBAgQIDAzRKor68PY2NjqeVjvY34aiqNAIHqEZDYqJ69EikBAhkILFVXY3h4WF2NDKxNSYAAAQIECBAgQIAAAQIE8iDQ3t4eOjs7k1BiUqO1tTXpOyBAIP8CEhv53yMREiCQkYC6GhnBmpYAAQIECBAgQIAAAQIECORcYHBwMFVvY3p6Ohw6dCjnUQuPAIGigMRGUcInAQI1JaCuRk1tt4slQIAAAQIECBAgQIAAAQIpgaXqbfT19YWpqanUeToECORTQGIjn/siKgIEMhZQVyNjYNMTIECAAAECBAgQIECAAIGcCyxVb6OtrU29jZzvm/AIRAGJDX8HBAjUnMBSdTVOnTqlrkbN/SW4YAIECBAgQIAAAQIECBCodQH1Nmr9L8D1V6uAxEa17py4CRC4LoGl6mqcPHky1NXVXdd8fkSAAAECBAgQIECAAAECBAhUt4B6G9W9f6KvTQGJjdrcd1dNoCYFlqqrMTAwEBobG2vSw0UTIECAAAECBAgQIECAAAECofAGh/Hx8RSFehspDh0CuROQ2MjdlgiIAIGsBJaqq3HgwIGsljMvAQIECBAgQIAAAQIECBAgUCUC6m1UyUYJk8DfCkhs+FMgQKAmBJarq1ETF+8iCRAgQIAAAQIECBAgQIAAgRUFlqq30dXVteLvnECAQOUFJDYqb25FAgQqLLBUXY1jx46pq1HhfbAcAQIECBAgQIAAAQIECBDIu8DV9TYmJibC0aNH8x62+AjUnIDERs1tuQsmUFsCS9XV6O3tDU1NTbUF4WoJECBAgAABAgQIECBAgACBFQU2btwYrq630d3dHWZmZlb8rRMIEKicgMRG5aytRIDATRBYqq5Gf3//TYjEkgQIECBAgAABAgQIECBAgEA1CCxVb2Pnzp0h3jypESCQDwGJjXzsgygIEMhAYGpqKhw5ciSZua6uLgwPD4d494VGgAABAgQIECBAgAABAgQIEFhOYKl6Gx0dHcudbpwAgQoLSGxUGNxyBAhURmB+fj60tbWlFot1NeJdFxoBAgQIECBAgAABAgQIECBAYCUB9TZWEvI9gZsnILFx8+ytTIBAhgKtra0hJjeKTV2NooRPAgQIECBAgAABAgQIECBAYDUC8Y0Px48fT50a623Mzc2lxnQIEKi8gMRG5c2tSIBAxgKHDh0K09PTySoNDQ1BXY2EwwEBAgQIECBAgAABAgQIECCwSoFt27aFoaGh1NktLS3qbaREdAhUXkBio/LmViRAIEOBmZmZ0NfXl1pBXY0Uhw4BAgQIECBAgAABAgQIECCwBoGurq7Q3Nyc/GJ2djb09PQkfQcECFReQGKj8uZWJEAgI4GFhYWwc+fO1OxjY2PqaqREdAgQIECAAAECBAgQIECAAIG1CoyOjoa6urrkZyMjI+HEiRNJ3wEBApUVkNiorLfVCBDIUKCjoyNVV6OzszO0t7dnuKKpCRAgQIAAAQIECBAgQIAAgVoQiPU2zpw5k7rU/fv3q7eREtEhUDkBiY3KWVuJAIEMBY4ePRomJiaSFbZs2RIGBweTvgMCBAgQIECAAAECBAgQIECAwI0IxHobAwMDyRTz8/Nh9+7d6m0kIg4IVE5AYqNy1lYiQCAjgbm5udDd3Z2a/fjx4yHeTaERIECAAAECBAgQIECAAAECBMolcODAgdDQ0JBMNz09HZ555pmk74AAgcoISGxUxtkqBAhkJBDrarS0tKRmHxoaCvEuCo0AAQIECBAgQIAAAQIECBAgUG6BU6dOpept9PX1hampqXIvYz4CBK4hILFxDRxfESCQf4Genp4wOzubBNrc3By6urqSvgMCBAgQIECAAAECBAgQIECAQDkFYhHxY8eOpaZsa2tL1f1MfalDgEDZBSQ2yk5qQgIEKiUwOTkZRkZGkuXiPyxirQ2NAAECBAgQIECAAAECBAgQIJClQFNTU+jt7U2WiPU23GiZcDggkLmAxEbmxBYgQCALgfgPhj179qSmPnnyZOpR0NSXOgQIECBAgAABAgQIECBAgACBMgr09/eHLVu2JDNOTEy44TLRcEAgWwGJjWx9zU6AQEYCra2tqUc8BwYGQmNjY0armZYAAQIECBAgQIAAAQIECBAgkBbYuHFjGB8fTw12d3eHubm51JgOAQLlF5DYKL+pGQkQyFggvm5qeno6WaWhoSHs3bs36TsgQIAAAQIECBAgQIAAAQIECFRCoL6+PgwNDaWWamlpCQsLC6kxHQIEyisgsVFeT7MRIJCxwMzMTIh3Pyxuw8PDId4loREgQIAAAQIECBAgQIAAAQIEKi0Qa2s0Nzcny87Ozoaenp6k74AAgfILSGyU39SMBAhkJBDvdti1a1dq9rGxsRDvjtAIECBAgAABAgQIECBAgAABAjdLIL5doq6uLll+ZGQkTE5OJn0HBAiUV0Bio7yeZiNAIEOBeLdDvOuh2OLdEO3t7cWuTwIECBAgQIAAAQIECBAgQIDATRGISY2TJ0+m1t6zZ0+qPmjqSx0CBG5IQGLjhvj8mACBSgnEuxzi3Q7FFv/BMDo6Wuz6JECAAAECBAgQIECAAAECBAjcVIHGxsbQ29ubxDA/Px/ia6o0AgTKLyCxUX5TMxIgUGaB+A+BeJfD4hbvglBXY7GIYwIECBAgQIAAAQIECBAgQOBmC/T394ctW7YkYUxMTIT4miqNAIHyCkhslNfTbAQIZCDQ2tqaenRzYGAgxLsgNAIECBAgQIAAAQIECBAgQIBAngTiTZjj4+OpkLq7u8Pc3FxqTIcAgRsTkNi4MT+/JkAgY4F4V8P09HSySkNDQ9i7d2/Sd0CAAAECBAgQIECAAAECBAgQyJNAfX19GBoaSoXU0tISFhYWUmM6BAhcv8Atl6+01fz8rjs2F0575fXXVnO6cwgQIFAi8PJLL4c/+qPp8M0//Wb4zndeD6++8mrhnA/d+qHwi7+4Nfz8ffeFbdu2hQcferAwPjMzE7Zv356a59vf/naI/0DQCBAgQIAAAQIECBAgQIAAAQJ5Fvj85z8f4quoii3W3zh8+HCx65NATQqUK88gsVGTfz4umkBlBc4+fzYM/u6RJJFx5113httvvyM88KkHCoF8743vhe9+97th+ty5Qj8mOjoeeyz8p+PHw7e+9a0k2Hi3g6JbCYcDAgQIECBAgAABAgQIECBAIMcCsWZovIEzfhbbCy+84PXaRQyfNSkgsVGT2+6iCVSXQHxC47ef+pfhL/78L0JMZjy+65+FHb+8I2zatGnZC3nxGy+GE2NjhSTHu5ffDW+//XZ48623QnNzc/jqV7+67O98QYAAAQIECBAgQIAAAQIECBDIm8DU1FT49Kc/nYRVV1cX4tsoYi0OjUAtCpQrsaHGRi3+9bhmAhUQiE9p/KPPfCa89tpr4enf+Z3w36/8h7zl11qumdSIYcXXUH3xn/56+Ov/87/DOz96J/z0T/10uP2jfy/EWhsaAQIECBAgQIAAAQIECBAgQKCaBBobG0NnZ2cScnx6o6OjI+k7IEDg+gQkNq7Pza8IELiGQExqPPnEE+H+T9wf/uvZs4WExjVOT30VC2m1tbWF//c3fxO+O/+9wuf7fuInQt+/PpA6T4cAAQIECBAgQIAAAQIECBAgUA0Cg4ODYcuWLUmose7GiRMnkr4DAgTWLiCxsXYzvyBA4BoC8VVSxaTG6JX/SF/rtVNLTdPT05N69+Rn/8k/Dm3t7YVXUx3s/9JSPzFGgAABAgQIECBAgAABAgQIEMitQHzt1PErdUQXt/3796f+/4/F3zkmQGBlAYmNlY2cQYDAKgW+//3vh5693YV6GjGpsWHDhlX+8senxbsVRkZGkt/EuxniXQ39B79USG6cvPJ9TJxoBAgQIECAAAECBAgQIECAAIFqEohFxAcGBpKQ4yupWltbk74DAgTWJiCxsTYvZxMgcA2B/zj8H8LFNy+Gf3f48JqTGvE/6PFuhcUt3s1QLKbV+1v7CgmTmDi5dOnS4tMcEyBAgAABAgQIECBAgAABAgRyL7B3797Q0NCQxDk9Pa2maKLhgMDaBCQ21ublbAIElhGIT2vEJyria6O2bt26zFnLD3d1daUewYx3McS7GYotPv0REyYxcXL6K18pDvskQIAAAQIECBAgQIAAAQIECFSFQLx5c3h4OBVrd3d3mJubS43pECCwsoDExspGziBAYBUC8WmN2P757t9YxdnpU44ePRpi4axii6+gincxXN1iwiQWJB8/ffrqr/QJECBAgAABAgQIECBAgAABArkXqK+vD0NDQ6k4d+/enerrECCwsoDExspGziBAYBUCzz339bCzaeeai4XHuxLi3QmL2/j4ePIKqsXj8bjjsc7w6iuvhvPnz1/9lT4BAgQIECBAgAABAgQIECBAIPcC8a0VV7+S6tChQ7mPW4AE8iQgsZGn3RALgSoVePmllwuviNr+yQfWfAVX35UQ71qIdy8s1+ITG7H9+Z/92XKnGCdAgAABAgQIECBAgAABAgQI5Frg1KlToa6uLomxr68vzMzMJH0HBAhcW0Bi49o+viVAYBUCFy5cKJx1T/09qzj7vVPiK6hioaxii3crxLsWrtU2bdpUKCL+P//yL691mu8IECBAgAABAgQIECBAgAABArkViEmNp59+OhXfrl27wsLCQmpMhwCBpQUkNpZ2MUqAwBoE5ua+XTh7LUXD5+fnS15BdXUBreVCuP32O8IPfvD2cl8bJ0CAAAECBAgQIECAAAECBAjkXqC9vT00Nzcncc7OzoZnnnkm6TsgQGB5gVsuX2nLf/3eN3fdsbnQeeX1194bdESgQgLFv78KLWeZCgn8YOHt8H/ffLOw2s/cemv4qY0frNDKliFAgAABAgQIECBAgAABAgQI3HyBd955J7xxYT7Ez5/8wAfCz976M+F973vfzQ9MBGUX8P+r/5i0+P/z3qjH+8u+QyYkQIDAKgViIuMDf+fvhrcvLUhqrNLMaQQIECBAgAABAgQIECBAgMD6EYhJjJjMePfdd8PGDRvWz4W5EgIZC0hsZAxs+vII3GgGrzxRmGU5gfHT42H/U0+FP/7mn4ZYAyPr9vhjnYUlvvz7I1kvZX4CBAgQIECAAAECBAgQIECAAAECBHImoMZGzjZEOASqUaBYNPyl//VSRcKfPncu/Px991VkLYsQIECAAAECBAgQIECAAAECBAgQIJAvAYmNfO2HaAhUpcDdd99diHtmZibz+F/8xouFNe69997M17IAAQIECBAgQIAAAQIECBAgQIAAAQL5E5DYyN+eiIhA1QlsuPIOyJ1NO8N/+c+nMo/93NRUYY2HdjyU+VoWIECAAAECBAgQIECAAAECBAgQIEAgfwISG/nbExERqEqBxk9/Jlx882I4+/zZzOK/dOlSOHniRCGJEpMpGgECBAgQIECAAAECBAgQIECAAAECtScgsVF7e+6KCWQi8Cu/+ivhzrvuDIO/eyTEBEQW7ci/P1yYtrWtLYvpzUmAAAECBAgQIECAAAECBAgQIECAQBUISGxUwSYJkUC1CPT1fym8+sqroZiAKGfcsbZG8WmNrVu3lnNqcxEgQIAAAQIECBAgQIAAAQIECBAgUEUCEhtVtFlCJZB3gQcfejC0tbcXEhDlfCXVyy+9HHr2docP3fqhcPDQobwziI8AAQIECBAgQIAAAQIECBAgQIAAgQwFJDYyxDU1gVoU6P2tfeH+T9wfnnziiTB+evyGCWJS49davlCY5/T4HwS1NW6Y1AQECBAgQIAAAQIECBAgQIAAAQIEqlpAYqOqt0/wBPInEBMPo1cKfMfkxv6nngq9PT3XXXMjJkYWJzU+dvfH8nfBIiJAgAABAgQIECBAgAABAgQIECBAoKICEhsV5bYYgdoQKCY34mupzkyeCb/80EPhy8ePrzrBEetpPP5YZyExsnnz5hCf1JDUqI2/HVdJgAABAgQIECBAgAABAgQIECBAYCWBWy5faSudFL+/647NhdNeef211ZzuHAIECBQEzp8/H/7Fvn2FouKxRsaOHTvC9k8+EO6pvyds3LAxbNi4IVy4cCFcWrgUZmZmwh+efT459zd27w6P79pFkgABAgQIECBAgAABAgQIECBAgACBdSBQrjyDxMY6+GNwCQSqQSA+hXFuaio899zXw8U3Ly4bcsPDD4dHmpvDQzseUk9jWSVfECBAgAABAgQIECBAgAABAgQIEKg+AYmN6tszERMg8LcCsSD4wqWFcGH+QlhYWCg8vRG/2rp1KyMCBAgQIECAAAECBAgQIECAAAECBNapQLkSG+9fpz4uiwCBHAsU62VIZOR4k4RGgAABAgQIECBAgAABAgQIECBAIKcCiofndGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQNn1a/AAAE0UlEQVQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKSGyUmhghQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEciogsZHTjREWAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUCogsVFqYoQAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIqYDERk43RlgECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqYDERqmJEQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCCnAhIbOd0YYREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKlAhIbpSZGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwKSGzkdGOERYAAAQIECBAgQIAAAQIECBAgQIAAAQIECJQKvL90qHTkrjs2J4OLj5NBBwQIECBAgAABAgQIECBAgAABAgQIECBAgACBCgh4YqMCyJYgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEyiNwy+UrrTxTmYUAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkK2AJzay9TU7AQIECBAgQIAAAQIECBAgQIAAAQIECBAgUEYBiY0yYpqKAAECBAgQIECAAAECBAgQIECAAAECBAgQyFZAYiNbX7MTIECAAAECBAgQIECAAAECBAgQIECAAAECZRSQ2CgjpqkIECBAgAABAgQIECBAgAABAgQIECBAgACBbAUkNrL1NTsBAgQIECBAgAABAgQIECBAgAABAgQIECBQRgGJjTJimooAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIVkBiI1tfsxMgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJlFJDYKCOmqQgQIECAAAECBAgQIECAAAECBAgQIECAAIFsBSQ2svU1OwECBAgQIECAAAECBAgQIECAAAECBAgQIFBGAYmNMmKaigABAgQIECBAgAABAgQIECBAgAABAgQIEMhWQGIjW1+zEyBAgAABAgQIECBAgAABAgQIECBAgAABAmUUkNgoI6apCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgWwFJDay9TU7AQIECBAgQIAAAQIECBAgQIAAAQIECBAgUEYBiY0yYpqKAAECBAgQIECAAAECBAgQIECAAAECBAgQyFZAYiNbX7MTIECAAAECBAgQIECAAAECBAgQIECAAAECZRSQ2CgjpqkIECBAgAABAgQIECBAgAABAgQIECBAgACBbAUkNrL1NTsBAgQIECBAgAABAgQIECBAgAABAgQIECBQRgGJjTJimooAAQIECBAgQIAAAQIECBAgQIAAAQIECBDIVuD/A9jWSXwcwqE3AAAAAElFTkSuQmCC" alt></p>
<p>On the diagram above, sketch the path that the projectile would follow if air resistance were not negligible.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>