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</div><h2>HL Paper 1</h2><div class="question">
<p>A block of mass 1.0 kg rests on a trolley of mass 4.0 kg. The coefficient of dynamic friction between the block and the trolley is 0.30.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>A horizontal force<em> F</em> = 5.0 N acts on the block. The block slides over the trolley. What is the acceleration of the trolley?</p>
<p>A. 5.0 m s<sup>–2</sup></p>
<p>B. 1.0 m s<sup>–2</sup></p>
<p>C. 0.75 m s<sup>–2</sup></p>
<p>D. 0.60 m s<sup>–2</sup></p>
</div>
<br><hr><br><div class="question">
<p>The momentum of an object changes by Δ<em>p</em> in a time Δ<em>t</em>. What is the impulse acting on the object during this change?</p>
<p><br>A. Δ<em>p</em></p>
<p>B. Δ<em>p </em>Δ<em>t</em></p>
<p>C. \(\frac{{\Delta p}}{{\Delta t}}\)</p>
<p>D. zero</p>
</div>
<br><hr><br><div class="question">
<p>Which of the following is a condition for an object to be in translational equilibrium?</p>
<p>A. The object must be moving at constant speed.</p>
<p>B. The velocity of the object in any direction must be zero.</p>
<p>C. The forces acting horizontally on the object must equal the forces acting vertically on the object.</p>
<p>D. The resultant force acting on the object must be zero.</p>
</div>
<br><hr><br><div class="question">
<p>A projectile is fired from level ground with speed <em>v</em> at an angle <em>θ</em> to the ground. Ignoring air resistance, which of the following is a correct expression for the maximum height reached by the projectile?</p>
<p>A. \(\frac{{{v^2}{{\sin }^2}\theta }}{{2g}}\)</p>
<p>B. \(\frac{{{v^2}{{\cos }^2}\theta }}{{2g}}\) </p>
<p>C. \(\frac{{v\sin \theta }}{g}\)</p>
<p>D. \(\frac{{v\cos \theta }}{g}\)</p>
</div>
<br><hr><br><div class="question">
<p>A block of weight<em> W</em> is suspended by two strings of equal length. The strings are almost horizontal.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAX8AAABoCAYAAAAZ4PDwAAAO/klEQVR4Ae2df2xV5RnHn1uMm6ZhCBjbO3RIXOkWWMy0hMwlINkEsz9IMNGwwLoxcDP8MBjbRrGS2dGBdRIHJriYTsA0mYmNJGZLAZsaZDFakAyy0YYgWqR1CDJs0JnQuzy3fS/nvD2995723nvOPfdzEnLvc89zzvO+n+e533ve97w9xBKJRELYIAABCECgpAiUlVRv6SwEIAABCCQJpBX/ixcvujDZ9pdffunab9u2f65tO14mO9fx7fNliq/7nT75tjU5znhett2HXNuZ4tv7cx3fPp8dz7Zt/3zbdnwv2/mZvs+l7VUTzvN77Q+aSb7j2+cPOw+7fZqzbLa04j9t2jRxgliyZInLXrBggfT29qbi2PaqVatc+21769atcuzYsdTxah8+fDhre/v27bJ///6Uv9rt7e1j2m1tba79b775psvu6uqSnTt3po7PZHd3d7v8Dx06JM3Nzanj1a6vr3fZmzdvTtlHjx4Vp93T0+Oy+/r6ZPny5Sn/TPaFCxdc/mfPnhXNiSkO29bcak7NftvWwHbO7ZrIZGt8jWs2u0Zs266RhoYGVw35rZFdu3a5aipTzai/s4a8ambPnj2mO5KpRuz9XjVj14jTtmvEtrUmNmzYkGpPphqx92tutMZMDdg1Ytt2jehxzhrShmSqCXu/XWN2Tdi2+jt1x6tmJqIrWgMT0RW7ZrQGJlIz2eiKs2ZSxZDpjc75j7W9/vrriS1btqR2q11XV5e13dHR4fJ/5513EqtXr04dr/bSpUvHtD/44APX/p6enqR95cqV5DFq19TUJLK1+/r6XP4XLlzQ+x0JfdUtG1vjGX+Nq7a2Qze/th6j/dd+mk1t5WK2TLbmQzmbTW3Nk9ky2Zpfp/+OHTsSu3fvNocn1NZ/ZrNt9XXu13PlumbS1YhdQ14146dG7JrSXDtznk2NOGvK1ITWnm7G9lMz2n/jr+dQ20/N6HfOWVP5qBlnDdg1YtteNaNtMpvWkB9b++ZHV+yaUbbKVHOjm10DmWwvXfFbM05/UyPjrRnDMdOrpHMwjTCFl43tVajOwtP96WyvQnWKUyYxs/dr4fkRM7tQJypmdiGHsVCdYpWNuHkVqp8a0eONv9afXzGza0hzHuQPYK5rxuuiSftsNlu8bJsfwOGaSqcz+agZrQOz2TVh2/n+ATTtSPd6XbqRgQ43dNMhRVVVVco1k71ixQpZuHBhyn/jxo1Z2+fPnxenvw7vdNj07rvvJs+Xyf78889FpwaMv9ovv/yynDhxInm8sT/++GNf9qVLl1z+SUNEzPnGsvXzlpaWpN9NN92UdNP26Gbsffv2yZo1a3zZOtQ3x7///vvJoX+2tsbWob7JaU1NjejQOVtbj3f6q52pJpz74/H4KP+HH3446xrReF41cvDgQd2VnBLwWzObNm2Surq65PEmp2GqmfHUiLOmxlMjzhpTMM6cj6dm1q1bl6oxPZ+zJrKxbV0JY8341RXbP1mAPnTF+Our6orWsPkeO/d5vY/pL4PXDv1M5/N0jrBQmwr/p59+KidPnhQVWxVNsy1dujTZqTlz5kh5ebnoKxsEIACBMBK4cuWKnD592lPL9IdTL47zoWXZCr8ySyv+YYCqN5g+++wzOXPmjAwODiav6M2VmdcPwo033igzZswIQ9NpAwQgEHECOhMx1kWrXoXfdtttoiPdWbNmiWqTH3HON7rQi386ALoSQX9hdXiuPwz6qsN9HeKuXr06OS0yf/785Ehh5syZMn36dJk6dWq6U7IPAhCAgIuAU2fOnTsnOlXjpTO33HKL3HzzzXLrrbfKDTfc4DpHGI2iFv90QPUX2Qy9TMLMNJL+Ik+ZMkWqq6vFJCxMv8jp+sU+CEAg9wScMwwDAwPJC0nVEL3X4pxhqKiokKhcSEZW/McqD3MfwwzV9MawmUYyc3HOoZqOFphGGosmn0OgeAjw3XfnquTE3919t1WKv/5uAlgQKH4CjPqzyyHinx2n5F+p6o1nvYNvppGiMO+XZfdxg0CoCDjn4bnfN77UIP7j4+Y6qpjv+Ls6ggGBEBFwjsTtlX5mita5XJKVfv6Sh/j74+XLm+L1hQvnEiXAxVMwiUf8g+GenEayl6ma1QUsUw0oKYTNGwGdpmHaNG94x3VixH9c2PJ7EDes8suXs+eHgHOkWyrLJfNDsjBnRfwLwzknUeylavoYjA8//DD5TA8zB8oy1Zyg5iRjELBrMN1SaZ2PZx5+DJAh+BjxD0ESctEErrpyQZFzGAKMPg2J6L4i/tHNbapnzmVxLFNNYSn5N866yGa5ZLE8tqDkE5slAMQ/S1BRdcu00sI8BiOMD6aKak5y2S/niNBeLul8bIF5Ui7TNLmkH+5zIf7hzk9grTNzu15PUzX3F1hjHVh6XIFNrswjS+xHoof96ZKuzmAUjADiXzDU0QnkNV1glqmaq0meppr7fGdaLnn77be7HlbINE3ucxClMyL+UcpmCPri90YhAuVOmpmmcT6m3P5h1RFXlJ4u6SaAVSgCiH+hSJd4HK+piVJdpmqzYLlkiX85Auo+4h8QeMJeI2CudvX+Qro/DjI3JYvlP+VxjoK85uHNzXT+T4lrtcC7whFA/AvHmkjjIOC8vxDGZarO9rFcchwJ5pDACCD+gaEn8EQJZHtlPdFlqs6RiVku6TUPb0YmLJecaGY5vhAEEP9CUCZGQQmYOXU/y1SnTZsmfX19nv8Zt1na6nx0hgo8//VnQdNKsBwTQPxzDJTThZuAuYr3Wk2jT1NluWS480frckcA8c8dS85UxARisZgkEoki7gFNh4A/AmX+3PGGAAQgAIEoEED8o5BF+gABCEDAJwHE3ycw3CEAAQhEgQDiH4Us0gcIQAACPgkg/j6B4Q4BCEAgCgQQ/yhkkT5AAAIQ8EkA8fcJDHcIQAACUSCA+Echi/QBAhCAgE8CiL9PYLhDAAIQiAIBxD8KWaQPEIAABHwSQPx9AsMdAhCAQBQIIP5RyCJ9gAAEIOCTAOLvExjuEIAABKJAAPGPQhbpAwQgAAGfBBB/n8BwhwAEIBAFAoh/FLJIHyAAAQj4JID4+wSGOwQgAIEoEED8o5BF+gABCEDAJwHE3ycw3CEAAQhEgQDiH4Us0gcIQAACPgkg/j6B4Q4BCEAgCgQQ/yhkkT5AAAIQ8EngOp/+uEMgFARisVjO25HrcyYSiZy3kRNCIFcEEP9ckeQ8BSfQ2NhY8JjZBmxqasrWFT8IBEKAaZ9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAhCAQLAEEP9g+RMdAhCAQCAEEP9AsBMUAobAV9Lb+qDEFrdK75D5bPTrUG+rLI49KK29X43eOe5PRmLHn5TOy2mCj/v8HBhmAoh/mLND2yAAAQjkiQDinyewnBYCEIBAmAkg/mHODm0rIQL/kRMHtkttPCaxWEzitdvlQO/lNP0fksHeTmltWJz0j8Xicm9Dq3SOOuZr6T+yVxrujQ/7xWvluQO9MjjWmQdPSGvtXInXvijv9X89lhefR4AA4h+BJNKFCBDY/4Ssa7te1h75nyQS/5WupeelefbP5bkjlzw6NySDJ/fK2oWPytsVT8u5qwlJXD0i2yrelhWuY76WT9ofk7vuflVkfad8kbgqX3QukuO1D8ij7R/JqFl+Ff61y+UpeVw6X3xE5lVe7xGbj6JCAPGPSibpR3ETqFwrO5vXjAjuZKla9pg01g/I868dldHX/xflvb/skAP3/06aH71HKvVbXFYp8zb+UV6tH5C6J9uHbx4PnZaOl9pF6htk07JqKZcyKa/+mdSu/Ia0vvSWnHKq/xfHHcK/UqrLkYbiLqjMrSfDmRnhAYH8E5j7Q5njutIulxmzZ0n/3oPSba/EufxP6dh7Tube8/1h4U+1bvgYOX5Kzg4OydCpf8hf94vMnR2X8pTPdFm0rVsSHaukKvXt/0g6nq+XX+/5nvx+00MIf4pVtN+k0h/tbtI7CESHwNDAGTnWn6Y//afkzICP+fr+Nnn26Hel/hf/lqe2/U0+cY4I0oRhV3ETQPyLO3+0vgQJlFXMlDsr03S88g6ZWeFjvr7yCXlr35/kD5s2ytzWzfL0Gx73A9KEY1dxEkD8izNvtDpqBEamaq51a1DO9pyWypU/kbsnW1/TyT+QxSvjcvzwv6TfdZU+fIzMvUNmlJdJ2R0/kofuEznec86xumfkD7s8/mCsrGqZNLd8R1rXvSRd9lTTtYbxLiIErKqKSK/oBgSKjUD/K9K05Q3pHVQ1vywnWxtkxd75snPDj2XyqL5MlXm/Wi8//ftmefKFwyM/ACPHPFshLc3Lhufzy2bJ/Q2/kdnPbpOtnZ8kV/cM9R+SV/YelYUtj8uDVd+0zjxF7vrt09Iy+zVp+nO34wfDcsOMBAHEPxJppBNFT+C+DbJ+0UeypWqSxGLfkkVvz5HdXc2y7Nte0ze6amelvNj1giwYeEbik/RvA6rlkZ575NWeNnn8rikjOK6XykVPSFv3CrnaVCOTYjGZFH9Orv6yTdoem+e4CeygV36nLF+/RHrqnpFdnstMHb68LWoCsUQikSjqHtD4kiSgfwjV2NgY2r43NTUJX63QpoeG6epgKEAAAhCAQOkRQPxLL+f0GAIQgABX/tQABCAAgVIkwJV/KWadPkMAAiVPAPEv+RIAAAQgUIoEWO1TilmPQJ91tU/YN1b7hD1Dpd2+60q7+/S+WAkgrMWaOdodFgJM+4QlE7QDAhCAQAEJIP4FhE0oCEAAAmEhgPiHJRO0AwIQgEABCSD+BYRNKAhAAAJhIYD4hyUTtAMCEIBAAQkg/gWETSgIQAACYSGA+IclE7QDAhCAQAEJIP4FhE0oCEAAAmEh8H+UyWoRkg45RQAAAABJRU5ErkJggg=="></p>
<p>What is correct about the tension <em>T</em> in one string?</p>
<p>A. \(T < \frac{W}{2}\)</p>
<p>B. \(T = \frac{W}{2}\)</p>
<p>C. \(\frac{W}{2} < T \leqslant W\)</p>
<p>D. \(T > W\)</p>
</div>
<br><hr><br><div class="question">
<p class="p1">Two cars, X and Y, are travelling towards a junction. The velocity of car X is <strong><em>V</em></strong><sub><span class="s1">X </span></sub>and car Y is <strong><em>V</em></strong><sub><span class="s1">Y</span></sub>.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_09.22.01.png" alt="N09/4/PHYSI/HPM/ENG/TZ0/03_1"></p>
<p class="p1">Which of the following vectors represent the velocity of Y relative to X?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_09.23.08.png" alt="N09/4/PHYSI/HPM/ENG/TZ0/03_2"></p>
</div>
<br><hr><br><div class="question">
<p>A ball starts from rest and moves horizontally. Six positions of the ball are shown at time intervals of 1.0 ms. The horizontal distance between X, the initial position, and Y, the final position, is 0.050 m.</p>
<p> <img src="images/Schermafbeelding_2018-08-13_om_18.24.32.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/06"></p>
<p>What is the average acceleration of the ball between X and Y?</p>
<p>A. 2000 m s<sup>–2</sup></p>
<p>B. 4000 m s<sup>–2</sup></p>
<p>C. 5000 m s<sup>–2</sup></p>
<p>D. 8000 m s<sup>–2</sup></p>
</div>
<br><hr><br><div class="question">
<p>A parachutist of total mass 70 kg is falling vertically through the air at a constant speed of 8 m s<sup>–1</sup>.</p>
<p>What is the total upward force acting on the parachutist?</p>
<p>A. 0 N</p>
<p>B. 70 N</p>
<p>C. 560 N</p>
<p>D. 700 N</p>
</div>
<br><hr><br><div class="question">
<p class="p1">A student is sitting on a chair. One force that is acting on the student is the pull of gravity. According to Newton’s third law, there must be another force which is</p>
<p class="p1">A. the upward push of the chair on the student.</p>
<p class="p1">B. the downward force on the student.</p>
<p class="p1">C. the downward push of the chair on Earth.</p>
<p class="p1">D. the upward force on Earth.</p>
</div>
<br><hr><br><div class="question">
<p>A cyclist accelerates in a straight line. At one instant, when the cyclist is exerting a forward force of 40 N, the air resistance acting on the cyclist is 10 N.</p>
<p>What is the rate of change of momentum of the cyclist at this instant?</p>
<p>A. 10 kg m s<sup>–2</sup></p>
<p>B. 30 kg m s<sup>–2</sup></p>
<p>C. 40 kg m s<sup>–2</sup></p>
<p>D. 50 kg m s<sup>–2</sup></p>
</div>
<br><hr><br><div class="question">
<p>A stationary nucleus of polonium-210 undergoes alpha decay to form lead-206. The initial speed of the alpha particle is <em>v</em>. What is the speed of the lead-206 nucleus?</p>
<p>A. \(\frac{{206}}{4}\)<em>v</em></p>
<p>B. <em>v</em></p>
<p>C. \(\frac{{206}}{210}\)<em>v</em></p>
<p>D. \(\frac{{4}}{206}\)<em>v</em></p>
</div>
<br><hr><br><div class="question">
<p>A tennis ball is dropped from the top of a tall building. Air resistance is <strong>not</strong> negligible. Which graph shows the variation with time <em>t</em> of the displacement <em>s</em> of the ball?</p>
<p><img src="images/Screen_Shot_2016-08-01_at_1.02.07_PM.png" alt></p>
</div>
<br><hr><br><div class="question">
<p>An object of mass 2kg is thrown vertically downwards with an initial kinetic energy of 100J. What is the distance fallen by the object at the instant when its kinetic energy has doubled? </p>
<p>A. 2.5m<br>B. 5.0m <br>C. 10m <br>D. 14m</p>
</div>
<br><hr><br><div class="question">
<p>A stopper of mass 8 g leaves the opening of a container that contains pressurized gas.The stopper accelerates from rest for a time of 16 ms and leaves the container at a speed of 20 m s<sup>–1</sup>.</p>
<p>What is the order of magnitude of the force acting on the stopper?</p>
<p>A. 10<sup>–3</sup> N</p>
<p>B. 10<sup>0</sup> N</p>
<p>C. 10<sup>1</sup> N</p>
<p>D. 10<sup>3</sup> N<span class="Apple-converted-space"> </span></p>
</div>
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<div class="column">A body is moving in a straight line. A force <em>F</em> acts on the body in the direction of the body’s motion. A resistive force <em>f</em> acts on the body. Both forces act along the same straight line as the motion of the body. The rate of change of momentum of the body is equal to</div>
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<p><em>F</em>–<em>f</em>.</p>
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<li>
<p><em>F</em>.</p>
</li>
<li>
<p><em>F</em>+<em>f</em>.</p>
</li>
<li>
<p><em>f</em>.</p>
</li>
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<p> </p>
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<br><hr><br><div class="question">
<p>A mass is suspended from the ceiling of a train carriage by a string. The string makes an angle <em>θ</em> with the vertical when the train is accelerating along a straight horizontal track.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p>What is the acceleration of the train? </p>
<p>A. <em>g </em>sin <em>θ</em></p>
<p>B. <em>g </em>cos <em>θ</em> </p>
<p>C. <em>g </em>tan <em>θ</em> </p>
<p>D. \(\frac{g}{{\tan \theta }}\)</p>
</div>
<br><hr><br><div class="question">
<p>Two identical balls are dropped from a tall building, one a few seconds after the other. Air resistance is <strong>not</strong> negligible. As the balls fall, the distance between the balls will</p>
<p>A. decrease.<br>B. increase.<br>C. increase then remain constant.<br>D. remain constant.</p>
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following quantities can be determined from a speed-time graph of a particle travelling in a straight line?</p>
<p class="p1">A. Only the magnitude of the acceleration at a given instant</p>
<p class="p1">B. Both the velocity and the acceleration at a given instant</p>
<p class="p1">C. Only the distance travelled in a given time</p>
<p class="p1">D. Both the distance travelled in a given time and the magnitude of the acceleration at a given instant</p>
</div>
<br><hr><br><div class="question">
<p>A truck is pulled up an inclined plane at constant speed by an electric motor. The gain in potential energy of the truck is 48 kJ. The efficiency of the electric motor is \(\frac{2}{3}\).</p>
<p>How much energy is dissipated in pulling the truck up the plane?</p>
<p>A. 16 kJ</p>
<p>B. 24 kJ</p>
<p>C. 32 kJ</p>
<p>D. 64 kJ</p>
</div>
<br><hr><br><div class="question">
<p class="p1">A football is kicked with an initial velocity \(u\) at an angle \(\theta \) to the horizontal and reaches the ground \(t\) seconds later.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_09.30.48.png" alt="N09/4/PHYSI/HPM/ENG/TZ0/08"></p>
<p class="p1">Ignoring air resistance what is the range \(R\) of the football?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(ut\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(ut\cos \theta \)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(ut\sin \theta \)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(ut\tan \theta \)</p>
</div>
<br><hr><br><div class="question">
<p>Which of the following is always true for an object moving in a straight line at constant speed?</p>
<p>A. No forces act on the object.<br>B. No resultant force acts on the object.<br>C. The momentum of the object is zero.<br>D. No work is being done on the object.</p>
</div>
<br><hr><br><div class="question">
<p class="p1">A student throws a stone with velocity \(v\) at an angle \(\theta \) to the vertical from the surface of a lake. Air resistance can be ignored. The acceleration due to gravity is \(g\).</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_07.53.42.png" alt="N15/4/PHYSI/HPM/ENG/TZ0/06"></p>
<p class="p1">What is the time taken for the stone to hit the surface of the lake?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(\frac{{v\sin \theta }}{g}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(\frac{{v\cos \theta }}{g}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(\frac{{2v\sin \theta }}{g}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(\frac{{2v\cos \theta }}{g}\)</p>
</div>
<br><hr><br><div class="question">
<p>Two isolated spherical planets have the same gravitational potential at their surfaces. Which ratio must also be the same for the two planets?</p>
<p>A. \(\frac{{{\rm{radiu}}{{\rm{s}}^{\rm{3}}}}}{{{\rm{mass}}}}\)</p>
<p>B. \(\frac{{{\rm{radiu}}{{\rm{s}}^{\rm{2}}}}}{{{\rm{mass}}}}\)</p>
<p>C. \(\frac{{{\rm{radius}}}}{{{\rm{mass}}}}\)</p>
<p>D. radius</p>
</div>
<br><hr><br><div class="question">
<p class="p1">If a moving object is subject to a constant force, which of the following can be correctly deduced from Newton’s first law?</p>
<p class="p1">A. The object continues to move with a changing velocity.</p>
<p class="p1">B. The object continues to move with a constant velocity.</p>
<p class="p1">C. The object continues to move with a changing direction.</p>
<p class="p1">D. The object continues to move in the same direction.</p>
</div>
<br><hr><br><div class="question">
<p>Which of the following is necessary for an object to be in translational equilibrium?</p>
<p>A. The object must be stationary.<br>B. The object must move with a constant speed.<br>C. The resultant force acting on the object must be zero.<br>D. No forces must act on the object.</p>
</div>
<br><hr><br><div class="question">
<p>A toy car of mass 0.15 kg accelerates from a speed of 10 cm s<sup>–1</sup> to a speed of 15 cm s<sup>–1</sup>. What is the impulse acting on the car?</p>
<p>A. 7.5 mN s</p>
<p>B. 37.5 mN s</p>
<p>C. 0.75 N s</p>
<p>D. 3.75 N s</p>
</div>
<br><hr><br><div class="question">
<p>Which statement applies to an object in translational equilibrium?</p>
<p>A. The object must be stationary.</p>
<p>B. The object must be moving with constant acceleration.</p>
<p>C. The resultant force acting on the object must be zero.</p>
<p>D. There must be no external forces acting on the object.</p>
</div>
<br><hr><br><div class="question">
<p>A gun fires a bullet of mass <em>m</em> at a horizontal velocity of <em>v</em>. Air resistance on the bullet is negligible. A change in which of the following will affect the time for the bullet to hit the ground?</p>
<p><br>A. <em>m</em> only</p>
<p>B. <em>v</em> only</p>
<p>C. <em>m</em> and <em>v</em></p>
<p>D. neither <em>m</em> nor <em>v</em></p>
</div>
<br><hr><br><div class="question">
<p class="p1">A net force of magnitude 4.0 N acts on a body of mass 3.0 kg for 6.0 s. The body is initially at rest. Which of the following is the speed of the body after the 6.0 s interval?</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>\(0.50{\text{ m}}\,{{\text{s}}^{ - 1}}\)</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>\(2.0{\text{ m}}\,{{\text{s}}^{ - 1}}\)</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>\(4.5{\text{ m}}\,{{\text{s}}^{ - 1}}\)</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>\(8.0{\text{ m}}\,{{\text{s}}^{ - 1}}\)</p>
</div>
<br><hr><br><div class="question">
<p class="p1">An object moves in the \(x{\text{-}}y\) plane. The graphs below show how the component of its velocity \({V_x}\) in the <em>x</em>-direction and the component of its velocity \({V_y}\) in the <em>y</em>-direction, vary with time \(t\).</p>
<p class="p1">\(x\)-direction component</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-07_om_16.05.47.png" alt="M09/4/PHYSI/HPM/ENG/TZ1/06_1"></p>
<p class="p3">\(y\)-direction component</p>
<p class="p4" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-07_om_16.06.32.png" alt="M09/4/PHYSI/HPM/ENG/TZ1/06_2"></p>
<p class="p1">The particle is moving</p>
<p class="p1">A. <span class="Apple-converted-space"> </span>in a parabola.</p>
<p class="p1">B. <span class="Apple-converted-space"> </span>with simple harmonic motion.</p>
<p class="p1">C. <span class="Apple-converted-space"> </span>with constant velocity in a straight line.</p>
<p class="p1">D. <span class="Apple-converted-space"> </span>in a circle.</p>
</div>
<br><hr><br><div class="question">
<p class="p1">The diagram shows the path of a projectile that is launched with velocity \(v\). Air resistance is negligible.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_14.32.15.png" alt="N10/4/PHYSI/HPM/ENG/TZ0/23_1"></p>
<p class="p1">A second projectile has double the mass of the first projectile and is launched with the same velocity. Air resistance is still negligible. Which of the following paths best represents the path of the projectile? <em>(The original path is shown as a dotted line)</em></p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_14.33.13.png" alt="N10/4/PHYSI/HPM/ENG/TZ0/23_2"></p>
</div>
<br><hr><br><div class="question">
<p class="p1">A car moves from X to Y along a semicircular path. The radius of the path is 250 m and the time taken to complete the trip is 50 s.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_13.09.00.png" alt="N10/4/PHYSI/HPM/ENG/TZ0/04_1"></p>
<p class="p1">Which of the following correctly shows the magnitude of the average velocity and the magnitude of the average speed?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_13.09.40.png" alt="N10/4/PHYSI/HPM/ENG/TZ0/04_2"></p>
</div>
<br><hr><br><div class="question">
<p class="p1">An object is dropped from rest. Air resistance is <strong>not </strong>negligible. What is the acceleration of the object at the start of the motion?</p>
<p class="p1">A. Zero</p>
<p class="p1">B. Increasing</p>
<p class="p1">C. Decreasing</p>
<p class="p1">D. Constant</p>
</div>
<br><hr><br><div class="question">
<p>A ball of mass <em>m </em>collides with a vertical wall with an initial horizontal speed <em>u </em>and rebounds with a horizontal speed <em>v</em>. The graph shows the variation of the speed of the ball with time.</p>
<p> <img src="images/Schermafbeelding_2018-08-13_om_18.26.37.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/07"></p>
<p>What is the magnitude of the mean net force on the ball during the collision?</p>
<p>A. \(\frac{{m(u - v)}}{{({t_2} + {t_1})}}\)</p>
<p>B. \(\frac{{m(u - v)}}{{({t_2} - {t_1})}}\)</p>
<p>C. \(\frac{{m(u + v)}}{{({t_2} + {t_1})}}\)</p>
<p>D. \(\frac{{m(u + v)}}{{({t_2} - {t_1})}}\)</p>
</div>
<br><hr><br><div class="question">
<p class="p1">Two steel balls, of mass \(M\) and \(2M\), fall at constant speeds in a tube filled with oil.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-08_om_13.12.06.png" alt="N10/4/PHYSI/HPM/ENG/TZ0/07_1"></p>
<p class="p1">Which of the following correctly compares the magnitudes of the net force and of the drag (resistance) force on the two balls?</p>
<p class="p1"><img src="images/Schermafbeelding_2016-11-08_om_13.13.30.png" alt="N10/4/PHYSI/HPM/ENG/TZ0/07_2"></p>
</div>
<br><hr><br><div class="question">
<p class="p1">Which of the following is a correct definition of work?</p>
<p class="p1">A. Product of force and distance</p>
<p class="p1">B. Product of force and distance moved in the direction of the force</p>
<p class="p1">C. Product of power and time</p>
<p class="p1">D. Product of force and displacement</p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation of the acceleration a of an object with time <em>t</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>What is the change in speed of the object shown by the graph?</p>
<p>A. 0.5 m s<sup>–1</sup></p>
<p>B. 2.0 m s<sup>–1</sup></p>
<p>C. 36 m s<sup>–1</sup></p>
<p>D. 72 m s<sup>–1</sup></p>
</div>
<br><hr><br><div class="question">
<p>A horizontal spring of spring constant k and negligible mass is compressed through a distance y from its equilibrium length. An object of mass m that moves on a frictionless surface is placed at the end of the spring. The spring is released and returns to its equilibrium length.</p>
<p style="text-align: center;"><img 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"></p>
<p>What is the speed of the object just after it leaves the spring?</p>
<p>A. \(y\sqrt {\frac{k}{m}} \)</p>
<p>B. \(y\sqrt {\frac{m}{k}} \)</p>
<p>C. \(y\frac{k}{m}\)</p>
<p>D. \(y\frac{m}{k}\)</p>
</div>
<br><hr><br><div class="question">
<p>A stone is thrown from a cliff and it lands in the sea as shown below. Air resistance is negligible.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">Which of the following statements is correct whilst the stone is in motion?</p>
<p style="text-align: left;">A. The vertical component of the stone’s displacement is constant.<br>B. The horizontal component of the stone’s displacement is constant.<br>C. The vertical component of the stone’s velocity is constant.<br>D. The horizontal component of the stone’s velocity is constant.</p>
</div>
<br><hr><br><div class="question">
<p>Balls X and Y are at the same height. X is projected horizontally at the same time that Y is dropped. Y is the same size as X but has half its mass.</p>
<p><img 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" alt></p>
<p>Ignoring air resistance, which statement is <strong>true</strong>?</p>
<p>A. Y will hit the ground before X.<br>B. Y will hit the ground after X.<br>C. Y will hit the ground at the same time as X.<br>D. The outcome can only be determined if the initial speed of X is known.</p>
</div>
<br><hr><br><div class="question">
<p>A ball is thrown from point X and follows path XYZ. Air resistance is negligible.</p>
<p><img 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" alt></p>
<p>Which quantity is zero when the ball is at the highest point Y of the path?</p>
<p>A. The horizontal component of the ball’s acceleration</p>
<p>B. The vertical component of the ball’s acceleration</p>
<p>C. The horizontal component of the ball’s velocity</p>
<p>D. The kinetic energy of the ball</p>
</div>
<br><hr><br><div class="question">
<p>A ball of mass <em>m</em> is thrown horizontally from a cliff with initial velocity <em>u</em>. Air resistance is negligible.</p>
<p> </p>
<p><img 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tAcvxY39RhNvb+/9BZozrH+0nG0tp+1S3ACV2ubNcdLgAABAgQIECBQmkBz/Xpcxjhl7LOpoKv52Jqqxg/aj8D1QSq+R4AAAQIECBAgkLVAc4aDMscqc99Zv0HWo3iBaz2wPJUAAQIECBAgQCAfgZYIK801ZnONk8+7Ze2VClxrt/ETAgQIECBAgAABAtES4aQlxlxzqlt6/DWPpbV/LnC19hl0/AQIECBAgAABAqULtGQAacmx1xW2NRzjutbS1M8TuJpa1P4IECBAgAABAgTarEA1BItqOIY2O8ElFCZwlYBqlwQIECBAgAABAm1boJpCTzUdS9ue9Q2rTuDaMDevIkCAAAECBAgQINAi13etC7sQti5KzfMcgat5nI1CgAABAgQIECDQhgVaS8BpLcfZlt4qAldbmk21ECBAgAABAgQItKhAaw40rfnYW3TSP2RwgetDgPyYAAECBAgQIECAwPoK5BBecqhxfef9g54vcH2Qiu8RIECAAAECBAgQaAIBoaQJEFv5Ljq28uN3+AQIECBAgAABAgSqVqBdu3arj034Wk2R1ScCV1bTrVgCBAgQIECAAIGWEhC+Wkq+ZccVuFrW3+gECBAgQIAAAQIZCghf+Uy6wJXPXKuUAAECBAgQIECgCgWEryqclCY8JIGrCTHtigABAgQIECBAgMDGCKwZvor9uO5rYzSr47UCV3XMg6MgQIAAAQIECBAg8D4BAex9JK3uGwJXq5syB0yAAAECBAgQIJCrwHsD2CoHK2GrJKrvUeCqvjlxRBshsHz58mhoaIjisdiKz4uP4j9C7du3r3wU/6EqPu/QocPq723EkF5KgAABAgQIEGhxAUGsxadgrQcgcK2Vxg+qXaAIVUuXLo3a2tpYsmRJ1KXH+QsWxIL0MW/evJg/f34sKD7S18VzunTtGr169Vr90ad37+iZvu7Zs2d07ty58tGlS5fKYxHIbAQIECBAgACB1i6wtiC2Zl1Wx9bUaPrPBa6mN7XHEgWKgFWEq8WLF8eMGTPiyUmTYtKTT8ZTTz0Vr7z8cixPK1kdUliqqampPBbBqWP6vPiPTRHQ6uvrK89pSI+V1a/02L5jx9hmxIgY/ZGPxEd22ilGp4/+/ftHt27domsKaR3Tz20ECBAgQIAAgbYqsC6h7MNqF9rWLtQu4TSu/cd+QqDlBYqgVASsYqXq+eefj/Hjx8fDDz0Ur772WtSk0wJ79+kTQ4cOjU0GDIgBm2xSCUsDNt00BqSvi+BUfBQrW8XrZ82cGdNTUJs+fXrMmT278nnxvSK8vf7667Fg4cKoT6Fum5EjY6+99oqPjh0bW265ZfROq2Hdu3evBLeWF3EEBAgQIECAAAECrUVA4GotM5XhcRYrUIsWLYqpU6fGnXfeGbffdlu8PW1a9EgrT9vvsEPstttusceee8YO6fNiNWpjt2Ksp59+Oh6ZMCEmpI+XXnop5qZTE0ekwHXEkUfGIYccEptttlklvDXFX4I29ni9ngABAgQIECBAoPoFBK7qn6PsjrBY0VqYVpreeOON+N///d+4/fbbI50PWDnV75BDD60En2L1quzQ89Zbb8W9995bCXvPPftspcnG8ccfH8ced1wMGTKkcu1X2ceQ3eQrmAABAgQIECDQxgQErjY2oa29nGKV6e0UdH75q1/FLTffHO3TtVcHHnxwnHTSSbHtttu22PVUTzzxRFxz9dXxUDqVsTgL9+Of+EQce+yxMXjw4Mp1XoJXa3/nOX4CBAgQIECAQDkCAlc5rva6ngJFI4xZs2bFrbfeGldddVUsqauLgw46KE4//fTK9VRFC/dq2CalJh1XXnllJXh1Tw01Tvv7v4+DUyAcOHBgpVFHNRyjYyBAgAABAgQIEKgeAYGreuYiyyMpVouK9u2PPPJI/OcPfhCvT5kSe6Rrs84466wYNWpU1YaYYqXrZ5dfHo889liM2nHHODMd70dSl8OiOYfVrizfyoomQIAAAQIECHyggMD1gSy+2RwCy5Yti2mpCcZ/p+ByS1rZ2iI1pPjMmWfGoek6reJ+WNW+FS3qf/1//xdXXHFFpZnHSZ/8ZHzir/+6cpphtazIVbuh4yNAgAABAgQItHUBgautz3CV1leXThmcOHFi/PvFF8eU1ByjaEbxmTPOiE1TO/fWtkJUhMZLv/e9uPOuu2K7dJ3ZeV/4QmV1rriHl40AAQIECBAgQCBvAYEr7/lvkeqLxhh3pM6D3/mP/4hePXvGF7/0pdhvv/2ic+fOLXI8TTFo0Vnx/9Jq149++MOoq62NL//Lv8R+++9f6WTYFPu3DwIECBAgQIAAgdYpIHC1znlrtUddhK1rr702fvyjH8WO6Rqtr33ta7HVVltF+/btW21Nax74M888U6npxRdfjAtSkDzq6KMr13Wt+RyfEyBAgAABAgQI5CMgcOUz1y1eaW1a+bk6tVYvVoH22Xff+MqFF8bAQYNa/Lia+gCmvf12XJhqm5AagRQ1HnHEEdEzNdOwESBAgAABAgQI5CfQNpYV8pu3Vldx0eb9xhtuqKxs7ZtOH/zaV7/aJsNWMTGDUvOPS7797dh1113jm+katfvuuy8WL17c6ubMARMgQIAAAQIECGy8gMC18Yb28CECRTe/u+6+Oy699NLYZZdd4l/S9U2bDBjwIa9q3T/u379/fOtb34rtttsuvv5v/xbj//SnKO41ZiNAgAABAgQIEMhLwCmFec13s1fb0NAQ48ePj3PPPTe2HDYsvvPd71bapre2ToQbCjd58uQ45/Ofjzlz5sR3UyfDnXfeOTp27Lihu/M6AgQIECBAgACBViYgcLWyCWtth/vySy/FWZ/9bHRMTTG+d9llMXLkyDbTIGNd56Jof/9P//RP0a9Pn/h26sw4fPjw7AzW1crzCBAgQIAAAQJtTcAphW1tRquontmzZ8c3vvGNWDB/fnwlXbM1YsSILINGsap13nnnxetTpsRPfvzjmDFjRjQ2NlbRTDkUAgQIECBAgACBsgQErrJkM99vcb3S5ZdfHpPS6s7ZZ58dY8aMiZqammxVjjrqqPjkJz8Zt912W9xxxx2aaGT7TlA4AQIECBAgkJuAwJXbjDdDvcXqzcMPPRS/+uUv42MpaHzsyCOjS5cuzTBydQ9xxplnxtixY+OHqS3+C88/H/X19dV9wI6OAAECBAgQIEBgowUEro0mtIP3ChSnzBUNIgYNHBhnppDRu3fv9z4ly6+L0PnFdDPkHj16xPe///2YPn26UwuzfCcomgABAgQIEMhJQODKababodZi1ebKK6+MqW++GeekzoQDU+jKpSPhuvBuvfXWcfppp8Vjjz0W9/7ud1GX7k9mI0CAAAECBAgQaLsCAlfbndsWqezFF1+s3OD4kEMPjT323DM6derUIsdRzYP+9d/8TeV+ZP/9s5/FmymYaqBRzbPl2AgQIECAAAECGycgcG2cn1evIbBs2bJKo4z2qQX8qaeeGr169Vrjpz5dJVCE0M+ccUYsTN0bb7755li4cOGqH3kkQIAAAQIECBBoYwICVxub0JYs57lnn40/3HdfHH/CCTF06NAsW8Cvq3/RPGOvvfeOm266Kd5+6y2rXOsK53kECBAgQIAAgVYmIHC1sgmr1sNdvnx5XHfddZXW7+PGjYvu3btX66FWzXGd/Hd/F3W1tXHX3XdrE181s+JACBAgQIAAAQJNKyBwNa1ntnubNm1a3JdWtw455JBKo4zitELbXxbYY489YtSoUXF7ujfXnDlz/vKT/ZQAAQIECBAgQKBVCvituFVOW/UddBEaFi9eHEcfc4zVrXWcnqJ74wnp9MvXX389nn766Vi6dOk6vtLTCBAgQIAAAQIEWouAwNVaZqqKj7MICnfddVeMHDkyirbnHTt2rOKjra5DO+jgg2PAppvGHbffHosWLaqug3M0BAgQIECAAAECGy0gcG00oR288MILUbSDP/zww61urefbobgp9D6pgcb4CRNi3ty5mmesp5+nEyBAgAABAgSqXUDgqvYZagXHd++991aCwth99okuXbq0giOurkM8OF33tjitbk2cNCmWLFlSXQfnaAgQIECAAAECBDZKQODaKD4vbmhoiD8+/HBsv/32sWk6NU6zjPV/TxTNM/r27RsPPfhg1KauhTYCBAgQIECAAIG2IyBwtZ25bJFKpr/zTrz00kux2+67W93awBkoWuiPGTMmJk6cKHBtoKGXESBAgAABAgSqVUDgqtaZaSXH9djjj1e66+22227RuXPnVnLU1XeYu+yyS7yVboA8Y8aMKFYNbdUvUDSLmTp1asycObPZ5mx5w7KoTaefLlq4OJbWL4/GtTE1NkZxb7zKR/rcRoAAAQIECLScgHZyLWffJkYu2pl36tQpRmy1VeWmx22iqBYooljhqqmpqbSH33bbbaNDhw4tcBSGXB+BYkXyM5/+dIwaPTo+nR6L02qLU0PLmbvlUbdgTrz+wlPx+BMvxMy6zrHjAYfG7ttuFj07vefvZo3L4p03psTsBbXR0NghBg4dGn17do+O7danOs8lQIAAAQIEmkpA4GoqyUz38/xzz8VWKWx16dq15QRW/jW/vqE+lje0i5ouNdEh3eOqsi2vj9q6pdGwvCE6dOwanTp3+PPPVh5xQ/3SWLpkWSxPX3fslJ5T0z6a+3fTEamdfrdu3eKF55+vNM7QfGTl5FTxQ9HgpLhm8cYbboi77ryzcg+6U089tYTgtTwWz34x7vzp9+Lb1/4upsxacZ3fiCnt4z/PGRc7bdHjXUqNC5+Li//x3Lj90edicXSJs390dZx+xN4xoMt7gtm7XuULAgQIECBAoCwBgass2Qz2W19fH5MnT46i6UOxOtOcW8PSuqhLv/Aurq2LJXV1sWDe7Jj25uSYPK9PfOzovWNgjy5RXzs/pr76Qjz6yMR4a8bi6DFsVBx48F4xtG+36NA+RarGhlg8d2a89tzEeOyZl2Pugo6x5Z6HxAG7DY8eKZg1Z+gqwtbQtBLx6muvReFqaz0CxamFxamg115zTfzm1lubOHg1xtKFr8X1/3puXDVhasyvrY+OKTelswmjSzpT8P3roI0x99Un4rVFc1PYimjf9aDYbtDm0auzsNV63lGOlAABAgTamoDA1dZmtBnrKX7JXLhwYQwePLjZA9e8l/8Y19/6cEx65pG464EnojatUBVbh+7HxbZjd46ejYvikRt/EGdfck3Mmlf86rliO/DCX8Zlp+wdm3RrFwvfeS5+ecl58d1fPxvzlxTrW8X2UFzz0KWxz5b9o3kjZMSQFLgmPvFELFu2opYVx+OfrUWglODVuDge/PnF8Ysn6+P4r1wcXX73w7ji9kkxZWGkldiOsWohd7VR49J45oEHYt6MmZVvbX74rjF0UJ/o3Jx/PVh9MD4hQIAAAQIECgF/9vQ+2GCBd1KHwmI1ZvCQISVdt7L2Q+vQfmFMX943dtxxm+jbqWb1atSwEw+LYTVL4v6fnh+f+48bokO3XtEznfa16vfN3ukv/R3aNUbtzKfiJ587KX54z7To2qdfdC5WvCrbnFi8tGg2sPaxy/rJFptvXmnAYIWrLOHm2e+aweuvTjwxLrjggng43Tphg5prLHs77nlqSYw941/jhLFbxVuvN8S8FLbSya/p1MWB0avnu+97t3zxa/HgPVNi1switNfER8dsHZv0e/cph82jYBQCBAgQIEBglYDAtUrC43oLzJg+vdKdbZNNNmn2wNV7u2PiK/98Vnz2vM/HMb17xYoryLrGUfsNiRd+e0n887VPRKf9Px3/ff1V8Q9DB0T3lXnq5emLY/HC6XHdV/8+fvlKuzjgzG/HL67+euw6oO/qFa0O6bmr4td6o2zECzYZMKBy/dai1IWuUWe5jZCsjpeuCl7XXH11nDhu3IYFr05bx0X/78r4l78eGz3enBSPpcYZ84ryakbGyM0HRc8ua56ksDxmPv2HeHDejJhTec7o2HnEkOjbrbnXaqvD31EQIECAAIFqERC4qmUmWuFxzJ8/v9J2uk+fPi12w+Mlbzwav6lP13IVfjVjo+fku+Psyx6M9vt+Pn7xzU/FmOGDo992qVFG5XfOmhi6SX08ceMl8V+P1cTB//Tj+Npph8RW3SOmpFWvyol8HTqlVtstk7hWOc6bN6/Z2oy3wrddqzvkIngVq1sbGrxqOtdE+3Sx1quPT4hFc2ZX6u80+oAYucWA6LFmlmqYHw/c9JuYNfWdlc/ZNYZv1je6rpnJWp2eAyZAgAABAq1fwP+KW/8ctlgFixYvrqzEdE0dCotubc2/LY8pEx6M+rraSvOAhiHvxC8u+VN03u3T8fMLT4wRfdK616yn4qFJS6N2aXF0Q2LQ7Ifjkuv+FDue+q344vG7Ru+u7eP5tI+ltSs6v3Uevkts3qtzOu2w+avp2qVLuianXcyaNSuKMNvcjUiav+LWPeLi9P4v7nO1rquRawavW26+OY497rg45ZRT1q2rYcP0eOyhF2Puyg6Fe+y9XWzWv+caTTNSs4yn74tbH50R04q/PqT37x57j07P6bXGc1q3t6MnQIAAAQKtVUDgaq0zVwXH3ZCu3yp+2azpWFy83wIJpXFBjL//vqirXRZ9k8ecV5+Kmf0Pjkv/7bTYduUvo9Oe+2NMWlYXDUU7t4ZX44rvvxH99/piXHDy3tG3R6eI5XPj0TvviyWp22Gx7fpXe8UWqcPh+7u/VX5c6j86pk6PxfVbN6Q2448++mgLhdhSS2xTO58yZUqlO+H6FrVm8Lr1llsqXQ3POeecSvDqmP5d+qBt6fQX4k9vLYjZlT8cdI09dhwU/dMfBlZt9XXvxI1fvTyefm5K1PdLeWthes5O6Tl9/vycVc/1SIAAAQIECDSvwAf/3715j8ForVSg+Ot+sbVrkdWtlJXmvxq/H78satNvmPMinWpV0yNOv/j82GdEn1hxL9j6eP7eu2PJoiXRN/0SWpyN1aXXLvGNf/tEDO/XvdIxZvn8F+P3T65aAesaB+08LLqmlvAtsRWhtQhct992W2V1q0VCbEsU3krHLIJTsRq55gpX6tS+ztf/FXO9YMGCuOP226O48fWQ1HymOK30/VtjTH/qsXh77pwo8lb7boen67eGpOu3Vq4qNyyJ5+64On45bUq8nb7VN13AVdv1iBg5MD3nvTdFfv/OfYcAAQIECBAoWUDgKhm4Le9+1V/jGxoaWqTMOS+Mj0npflxL+y2ImN0h+u76pfj4XltX7qFVOaD6N+P+30xNK2D90/26ZqRvdY7jLjg/9tuqb+pKuOKQ57y4ch/Fl10PjZ226h+dihsdtcBWBNjihsf/fskllXubdeqUVuBsVSswfvz4+MqFF8YzzzxTObWwONB1WectTr8t5nbYsGGxyy67xJlnnRW77757dO68ltWoxtqY9PD9MX/2rIrFFkftHEM2S39UKL5qrI+5z94V3/2vO2LK23OifVrqnZP+dRh81C7pOf1WPKfyKv8gQIAAAQIEWkpA4Gop+TYwbhEOilWY4sbDRVho3uu40urV7++PpYvTtVfFNStdR8SXLjw0BvXrtvqX3rrXJsZvli1NP17xNu/R//g4+eAdo+fqLgLFPv6Y9rHidMIeh+0bg7t3iZp1+a25hPmrS47Fttlmm1U+VgXaEoayyyYQ6Nu3b6zPHK130Fp5jI2LJseDExfFzEp7wk5x0G4jYmDfotV7Y9TNeSou//IP45V0feLobWfH869OjzlLO8X+u20ZA/p2imIVrkPHmhU3+m6Cmu2CAAECBAgQWH8BgWv9zbxipUCPnj0rIWt+Oi2q2QNXWr363Y3PRe3i+srR9Dr8jNh/y37RdfXZgMtj8uMPxrLUUCOiCDLd45MXnxzD+/f48/VZ79pHTRx/8HbRp1vLrSotXOnYs0ePZg6vKyfUQykCGxq0Vh3Mkmkvx/O1CyMtXKXTZnePUVsOjV7d2kftgtfj1ku/HL+d2SNOPvugeP7nr8ezi6dXnrPbloOj68KX4sGnF8eIj2wXgwdonrHK0yMBAgQIEGhuAYGrucXb0Hir2pjPmTOn0sZ8ff7av7EMS95Iq1f1xepVsXWPsz6+a/RPzS5Wb8vnv6sZRrc+H48jdxke3de4PqtuzX102CF2335IuhdXuiasbnk6vatjtG/mRiCz0/VA6YKg6LkyyK6uxSetUmBjg9aqoue+PS394WDF6mdsvW1smpq9LJ39avzuv/81fnj327Hv5y+L/bacHLc1LKrco6vTqDExoPOyuPt7F8TlfxgY5/znhTFokxS4WmjldlUdHgkQIECAQK4CAleuM98EdQ8aNKhyStVbb721+hqWJtjtOuziz+3giyfX9Pyr2HvkptFljXMB390MoyYOPe/o2Kpvtz+vbqXTsSandvArVsDS1V1b7hs79usQMx+9I+6dMyzGHTwqrSI072rX2++8E337p2vI1nYtzzrIeErLCxRBq2jpP3z48HW7RutDDnnB3KlRv3TFbQti4ZsxYfyd8cD3ro47npwd23/yq3HqIbvG8t/dFXXp/m3FNnzzpfHYLd+NOyfMjMO/dEHsuePQ6CxsfYiyHxMgQIAAgfIEBK7ybNv8ngcNHBid08X/U6dOjWXLlkVxP65m2Va3g1/xV/9Rf3dADO3VdY0wlRoHrNkMo/OoOHrsNtG9y5p3ia2NZx/6w+qVg52O3y3aTR8fX/3cJfHsfmfHYfts1+yBa+obb8SgTTddr+uCmsXbIOsk0NRBa9WgHVLri3aVnprpO2/cFT+86N7o0btv7Pq3/5xub/Cx2HpATfz25Rdj0cJFlZe8eNtPY2rv/nH4Zy+OT+y/awzotvo821W79EiAAAECBAg0o4DA1YzYbW2o7ulao4GpwcOrr75aaWfeXPUtn//KinbwS4oRu8fRB418T5h6TzOMA8fFdgO6rWwVv/Iol8+Mya80pKC44usub/w2Lvr43fFKj3Hxoy8eHZv26bbyic3zUHR6fO3112OHHXZww+PmIW+yUYrGMUWHwVUrWmeceWaly+Rauw6u58iDdto7Bm81IabVvV55ZccOI+KEz50dpx+3Zwzqs+I02q13GhNDH347Fr61KAX2mjjms1+LT487JDbrvZbOh+t5DJ5OgAABAgQIbLiAwLXhdl6ZBLbZeut4/IknYsmSSvppFpN5L/+5lXtNzxNjt6H93nU6YTS+HQ/e+HzUVRpqdIpxR42Jfqn74LvOqqqdG69NXx7LVna0f+CmW2PAJofHf1z7+dhp817R8V1PLr+sadOmRXEN14gRIyotw8sf0QgbK1Bcs1h8bLPNNrHzzjtX2rvvsccea2/vvoEDdht2UPzn/xsZr0ydEfU1PWPw0CHRu1vnd12TtfXR58QlOxwfMxc1RP8thsdm/XpFTcvc3WADq/QyAgQIECDQdgUErrY7t81S2Y6jRsUdd9wRM2bMiIHpFMPitKqyt/nvLIrNB20eHbsujq0+fkAM69XlXacTRrrepWGLzWPzdjWpP+Go2H/UsOjW6T2nVXXZNEYO2iwmNXaIhSl0ddzu2PjON8+Jj27Zu0Xawj/55JOV0zJHJ8/i+h9b9QtsscUWceCBB8bhRxwRH/3oR5s8aK0p0Ln/4Nghfax1a989hmy9Y2oObyNAgAABAgSqTaBdY9qq7aAcT+sRmDhxYpx6yilx/he/GOPGjWu+67iagKhh7rR4c2FtLKntFFsMHxjdajq+exWsCcZY111861vfihuuvz5uuummGDZ8+Lq+zPMIECBAgAABAgSqXKD85YgqB3B4Gyew/fbbR7/UWW/8n/4Uq27cu3F7bL5Xd+gzKIYN3jJGbrNFdG/BsFVfXx+PPfpo5fqt4ro4GwECBAgQIECAQNsRELjazly2SCVFY4Dddt01Jk2aFAvSjXtt6y/w+uTJlcYje+y5Z6taIVz/Sr2CAAECBAgQIJCfgMCV35w3ecX7779/zEoNH5577rlYunRpk++/re/w97//feX6reI6oC5d1rh5c1svXH0ECBAgQIAAgQwEBK4MJrnsEj86dmz069cv7r777li0aMW9gMoes63sv7h/2b333lvpdDd06NDo0OE9zT3aSqHqIECAAAECBAhkKiBwZTrxTVl23759Y5999omHH3640tpcH5Z11y1WBZ999tk45NBDo1u35r3317ofpWcSIECAAAECBAhsqIDAtaFyXvcugaOOPjpqFy6MBx58sNU1z3hXIc34RRFMb/71r6NjagN/8EEHuX6rGe0NRYAAAQIECBBoLgGBq7mk2/g4e6Ybvm697bZx8803x5w5c9p4tU1T3syZM+Oee+6JsenarU2b6R5mTXPk9kKAAAECBAgQILCuAgLXukp53l8UKFZpxp1wQrz04ovxxBNPxJIlS/7i83P/YbG6ddMNN1TC6Qnp/mU9tIPP/S2hfgIECBAgQKCNCghcbXRiW6KsY449NoYNGxZX/c//RLF6Y1u7wIwZM+L6G2+MMWPGxOjRo6MmBVYbAQIECBAgQIBA2xMQuNrenLZYRcUqzUknnxzPPPNMPPTQQ1FXW9tix1LNAxc3Or7uuutixvTpcdppp0XPnj2r+XAdGwECBAgQIECAwEYICFwbgeel7xc4/vjjY1Rasbn8pz+NN958M3QsfL/RSy+9FL/8xS9i/wMOiI/svHN06tTp/U/yHQIECBAgQIAAgTYhIHC1iWmsniK6du0aZ511VsybN6+yijN79uzqObgqOJLFixfH9y+7LNq1axef+tSnolevXlVwVA6BAAECBAgQIECgLAGBqyzZjPe73377xZFHHRU3pqYQE8aP10Bj5XuhuMnx9ddfH3/84x/jtNNPjxEjRrjRccb/niidAAECBAgQyENA4Mpjnpu9yrPPPjtGpjbx3/nOd+Lll1+OhoaGZj+GahqwOLXy6aefjv/6yU9il9QoY1zqTOhGx9U0Q46FAAECBAgQIFCOgMBVjmv2e+3Xr1+cf/75UZfaw1926aXx9ttvZ309V1H/N7/xjahJ12ud/6UvReFjI0CAAAECBAgQaPsCAlfbn+MWq3DPPfeMz3zmMzFhwoS45pprYtasWVmGrvnz58cl//7v8drkyfHPF1xQOZWwfXv/6rXYG9PABAgQIECAAIFmFOjYjGMZKkOBk046KV579dVK4Bo0cGCMO/HErBpFLFq0KH6STiO8/w9/qDTJ2Ddd39a5c+cM3wlKJkCAAAECBAjkKSBw5TnvzVZ1hw4dKqcWFjdCvjR15+vVu3ccfthh0T3ds6utb7XpPmT/+6tfxXXXXhtHHX10fDLdo6x79+5tvWz1ESBAgAABAgQIrCHgvKY1MHxajkARrr520UXxkZ12im9+85vxwP33R9EevS1vS9K1a7fcckv84Ac/iL323jvOOeec6J3Cpo0AAQIECBAgQCAvgXape1pjXiWrtqUE3kw3Qj733HPjjSlT4utf/3p8dOzY6NEGV7qKla3f/va3lXA5escd4+J0/dagQYMq995qKXvjEiBAgAABAgQItIyAwNUy7tmO+sorr1ROMXzzjTfiy1/+chxw4IGVlZ/iRsBtYSsaZNxy881x2fe/H9tus00lbA0dOlTYaguTqwYCBAgQIECAwAYICFwbgOYlGycwOXXrK8LWM888E5/+1Kfi+BNOqKwAFdd7tdatvr6+0oXxZz/7WfwqXbe16y67xEVpFW/w4MHCVmudVMdNgAABAgQIEGgCAYGrCRDtYv0FiiYaF198cdx9990xNl3j9NnPfS622mqrVtlUouhEWNzc+duXXBLPPPtsHHvMMXH25z8fm2yyyfrDeAUBAgQIECBAgECbEhC42tR0tq5ili5dGldfdVX8/Oc/r9yf6zNnnBGHHHJIDBgwIDp2rP4GmsXxz507N27+9a/jiiuvjJq0QlcEx2OPPTa6du3auibD0RIgQIAAAQIECJQiIHCVwmqn6yPw5JNPxve++9147PHHY8zOO8en082St9tuu+jXr19U4w2CGxoaorhWa+LEifFf6R5bz7/wQuy5++5x7nnnxTbpuq3WfGrk+syb5xIgQIAAAQIECHy4gMD14Uae0QwCdXV1lXtWXZVWvGbOmhVHHnFE/M3f/m0MGz48evbsWRXBqwhaCxcujFfTjZz/J63K3ZduZjxw003j7//hH+KYdBqhVa1meKMYggABAgQIECDQygQErlY2YW39cN96660oGk/ccdttsSwFnKPTDYNPPPHE2GKLLaJXr14tsnq0bNmyStB6I3VWLBpi/PaOO6JTp04xbty4+LtTTolNU+hqK10W2/r7S30ECBAgQIAAgeYWELiaW9x46yTwQjpN74orrog/3HdfNCxfHocffngcd9xxMWTIkMq9u4rVpDJP3Su6Dhb30yo+ilb2v07Xaf3unnuiQ/v2ccSRR8YpKWgNGzas1GNYJyhPIkCAAAECBAgQqGoBgauqp8fBPZtax/9POs3wwQceiAULFsTW6Rqp/fbbL/bdd99KK/kieHXp0qVyOt/GrDItT6FuyZIlUZcCVl16LFazHkhjPnD//fHqa69Fj27d4pDDDouTTz650k2xzLBn1gkQIECAAAECBNqOgMDVduayTVdSBKB7Ugv5O9LpfK+lAFSbrvkakk4z3H7HHWPMmDGxe2pa0aNHj0p3wyJ4FV0Oi4Ybxceqz4trsIpgVTyu+fny9PW81ATjkUceicdT447nUmv3ae+8E53SPrZNzTsOS6trh6WwNXDgwKq4lqxNT7TiCBAgQIAAAQJtTEDgamMTurHlFG3Oi5WexsbGjd1VKa8vAlPRtGLC+PExYcKEmDRpUixevDjapWDVJ13j1bdv3+iTPnr37h39+veP/umjuParR/fuUdwva/bs2TF33rzK47xU69w5c2J2eiw+L2rukRp07DR6dOy5116xV/ooTmHc2NWsmpqaynFVY8fFUibJTgkQIECAAAECBFYLCFyrKXxSCFx00UXxRFrlKVaAWsO26lTA4p5YRVBckh6LJhf1xWO6DmvVtmaALFbAalLTi5q0glU0vygCUfHRuXPnyumJxc835vTEVWOuehyarvU6/wtfiOJR6Fql4pEAAQIECBAgkIdA9d9dNo95qJoqt9h888o9phrWCCtVc3DreSBFyCrqWJ4eiyYYq04t7JjCVVrOWs+9bdjTi3HvTKdBDh48OP7xH/+x0uJ+w/bkVQQIECBAgAABAq1RQOBqjbNW4jH/w6c+VeLe89t1cRpjceqjjQABAgQIECBAIE+B9nmWrWoCBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9sBAIECBAgQIAAAQIEMhUQuDKdeGUTIECAAAECBAgQIFC+gMBVvrERCBAgQIAAAQIECBDIVEDgynTilU2AAAECBAgQIECAQPkCAlf5xkYgQIAAAQIECBAgQCBTAYEr04lXNgECBAgQIECAAAEC5QsIXOUbG4EAAQIECBAgQIAAgUwFBK5MJ17ZBAgQIECAAAECBAiULyBwlW9shIwFGhsbM65e6QQIECBAgAABAh1nzpxJgQCBkgRqa2ujoaEh6urqovh3bcmSJSWNZLcECBAgQIAAAQLNLdCtW7fo0qVLtG+/9nWsdlsOH+5P8M09M8bLSyCtcjW2axft8qpatQQIECBAgACBNi9wyimnxDnnnhu9e/dea60dv3D++Wv9oR8QIECAAAECBAgQIECAwAcLjB49urLC9cE/XfHddukaEytcf0nIzwgQIECAAAECBAgQILCBAms/2XADd+hlBAgQIECAAAECBAgQILBCQODyTiBAgAABAgQIECBAgEBJAgJXSbB2S4AAAQIECBAgQIAAAYHLe4AAAQIECBAgQIAAAQIlCQhcJcHaLQECBAgQIECAAAECBAQu7wECBAgQIECAAAECBAiUJCBwlQRrtwQIECBAgAABAgQIEBC4vAcIECBAgAABAgQIECBQkoDAVRKs3RIgQIAAAQIECBAgQEDg8h4gQIAAAQIECBAgQIBASQICV0mwdkuAAAECBAgQIECAAAGBy3uAAAECBAgQIECAAAECJQkIXCXB2i0BAgQIECBAgAABAgQELu8BAgQIECBAgAABAgQIlCQgcJUEa7cECBAgQIAAAQIECBD4//LN+rEahJnPAAAAAElFTkSuQmCC" alt></p>
<p> </p>
<p>A change in which of the following will affect the horizontal distance travelled?</p>
<p>A. <em>m</em> only<br>B. <em>u</em> only<br>C. both <em>m</em> and <em>u<br></em>D. neither <em>m</em> nor <em>u</em></p>
</div>
<br><hr><br><div class="question">
<p>An object is thrown horizontally from the edge of a high crater on the Moon. The Moon has no atmosphere. Which of the following describes the changes, if any, to the horizontal and vertical components of the velocity of the object?</p>
<p><img 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QJ/cNaoliurW9+sX2atNqsfsSnmcMrzUmP/80l9q1IqwyFNhT6HdOW0mswSjezDarlS2njQGSxhL9Jq6njgOadN+nyz0bIcb+Sev3ImcZ4IW93y6K981+7QX5UrpXJlu3liu0wYPKsh/Opuw/oaHuxrt36XfR7meeD1z5q7lVK5Ut1vW443GZyf/l6cmUIBaMnHiRPz3d7r1n6NfWf3sPNW/M7ItS+7F61G9X7b8UngOVarUWWnc+Z4QgTO/CrR/1rW69Z+7U7LmZDAc7qstBs7zfOwqKEsCtvjrrdS2rWgzBq59mW30xTb/dNEBcmPQ35XI999165vVUobO0fvw72MPeftCQ3+dHiwPXQOtzcqcQzbri8WISsyY4qOUrwH6aXLKtj0EZufJnkEvmvHp0YFJHmHRq79qh0l6Xbz5FL8jlIaUsaec07PulZvdR1v4lpnjl90ymIhSxs7zY7tRvORAt/tda2X7frWZsuZkLHnWGFpdw9P+6yo+TqTvp7xGY3c98eNarlS2n1qD4OCexf5vCwBL4zY9UWbQxrZh3vRY7Urp7W3tOO1V9AhBV+6B/ciyQ68D8f1LaGNQu2O2GoJvPdPtzcq289sbxz/yQ8g8wddZnrS99F3WrvxEYfWo2qUumOv/6JRLWy70DSO5GPs2c92SuWoPIREH+4eWgOfEELSMnHtdh6GEnD/Z8s6br10vHHYVV6uVJ90h+HedFylaGpCqVy586z77m9tdjosBWoH1jC+ctRZrmyLfBGZ5Tut+1EAhBd2mqgoiENh/z9fXJ73hhMaOWwUwWjQOdisv/jEwuPDMfVPrT67x8HQPtqNI5b9KQZGYWQWH6VwDylUCqYcscVikslo0DmoRbaVFYM3oOGH20dd6kh891fqfiKtmCINx0PrSS3+offp+X5NOEHpKdOoiEoVBkkYSIHbeRB6kc2fLt49P2an4/fb6esg05kkE6d9pxyd0et3Vs/zvf6LRnXjQWcQKN27iWc9lvUhFcXSeqPJIY2H1tFT+1v0dxgx9w65D5eE1XNIgdt5kGjeJUYCSnIynT/sE6FNQzNcqFHoIQcnez+Etuna7TwUW0IKIwT9fnv7rpCWTBSirkdanyV6ImWVHPvhVqPzmUtyqnRxy0nfVZo4rc1SuVI9OBlwa1ywTjj+iHBIemCd1uKFVYsKhTiMq6vUIia0uj12uA6hYGg9qpbjxZnSQZUKjKLILD5KcWynUSiYcsSqiYkEms7CQlYsm+JBGtTlJMZsSFogSmkYDE52t7jeFJIaly095fSHqUAKzXStfjaI75TsOqg4JOFSpKpRpXsndUgKEbve6HFIQn0ZfrK7IdOUxbN6DmnitDaTjYBroY9dkpNUm4TGDUtIQdToAlfJFkY45oxCpUFMsCD/KRtt5SdUj7bMou4ZugxgumP/m928J4QWC7aEqNFSxRKm7yqx9kBC8li1CoekH3apxQurFBUKcZi5K/Z5so0eSh/73O+3tzeExn0qMAoiU+EoxbGdRqFgyhGrKCbp3w1OdjeSc3poj0jUPUPr7/R+mC2O3YNSGtI/ExaBPWXLOeUrp7UnNhST8hL1XG4mj5+6DsoOSX5GRPHeyRySSsSuNzocUjCyf/guOeSILR25hOO1V88hRX289LG6pFu7KCcDz3lzEQ7USIiRpBvpm918zN3W6KGGdCCR9HiDk92N/IewmeoQTQWIfy4VtaSEabxK0h/CIc0NqUNSiQqFOMzelfBsRbKlK/XAcy5fhsNTEn1ImZGpcpTi2M4no2A3i9g8MZGdWm4rWm47CCGSlpJKGsYr9klHOxGFUx57zt/DkZG8Q5I/1bqNQ1L6Zua9k5Rn6ohdP3Q4JBapGdvSjddePYeUHGOYHsaYmWnhiMLt5sml87UvbfZRkeLuozDmjBCSGIG4sdP85U2+TFPZyq2ZmLLI1CHsfI7kQMkhabxKcEiEEBMdkkIcZu+K9dyo6Fs4cHj3sPPW+fohFRh5kal2lKLYvmHBpopYFTERoImc65DYoyuZQwqHiEWHUErDxCjm9MyP7FNm4/2pvrmfkvIyb4dUdO8k5VGP2LVl9g5JfODCEzqnJVsYaRUdEklNtRAfh0szLRzuF021yOwYpx3arCKRdhmS1NyKxPgPESZbOf2L6Y4ijuRDd0WHpO0qwSERQsx1SMX93DkOqXAgQTjIN5pRJQkMkhOZakfJ28MtCqYcsepiwsG+k1dBpDqKuF8nh/iopmFq2p0wdCmjv5ANRY8mQqblZZ4OSeXeZTmkZRz6sjzM3CFdOa3/lTHCK1oYabnGa6+oQ6LwKsm1FSSZRoc6Cu2JbFHjupHSY84EeJ+UXfGwvm5payYY9d72RkHYISzZCftXLKzqDknPVYJDIoSY6JAU4jB7V2Ecyrugrl37oxdNLOBNgNwhsV2mI1PhKAV7kKFYMMWInUpMuEJk5zgh33rWx1H0BF/iolJ92+oOicL7pHwxYVPS+HIu0CEp3rvsp2yqsbSOzNohpR+48CzleO3Vc0gT59W5ONSUDQLLaV3JWs85osbGS24ff3J+SXUZ+s6pJY61pIOspe6EEvYvpmfJMWWMa6/UNFTqvHk5VnJIGq8SHBIhxESHpBKH8a5SLb0oRPmp6eFxziw3YIcTnYpkpHZuZBYfRSG2kygVTDVipxSTGDbaOjFNnf7rY7f3jcQuKj3Tit477qAqaTj5/exccI3hTK68DmlZX9ccHVLS0Cjeu8yR2vmxtObM1iFdOa393P6haAzvEs0kXEWH1PpTQmI8q5Eew8hnmkTUwj4/uajRZuLdne291B33ndafxYVPaHLm9R2GwiSu4Bd4zumPbfYr6eo1hCkjPxuFnUvCkLFlLSOB0HeVUuOiuL1JZggvV5fqDFm0QxIvrFpUKMRh1q4INx9FWD8w8PpnRz92h2N5ZcZsgTCXLTcyC4+iENtJlAqmGrFTi0kEf2rxuo6B1z87+o8wDaVLi9HSCs0npTScOO2thJ587dbvpqZ9CKcsc0jUn0lm+4unHD4KTM/MV1gsUH5GqveOHVqMgeJYWnNm6JBGrnW0kz/chB8/KAgQ7WPI/60uVtIhbfIRT5dBExZLpE2HvbZzRYJh77w3DMIH/HSwQuA5p8c/N78Pl8MfDS57f4j5m3q2FUEzNl7Ula5CJmkXCoSrrglbonETxk+8oBw9NX7cQGikRA3laj7mpbRdpXB9VGG2M6dEsYiz5wI7rb5Pxl7PsldLkhaUWdIAUI0KhTiMvyAxHOFifeIWRUI0nI5G7NhzXrZ/aobvtRj5g/f2H9cKkZl/FIXYTl00lYIpR+zUYlJ0AaMlYQkh0USQ2EUxhREGWqmlIZvtH60iTZe35X8iO2XmP1iFFXj9s9aPh9E7Pfx/vrH/K2BP4tKr1G4l+wgkOpN/ZRIOVfHehYq9fez4QeD9dm5/DTIv+PK+aX7OzMgh8St+JhvKIcnXVpRjfw2HNFMmzqtzd8QtJJ+edR/4rnW4vVEpbTVa79ji9NGS2eH3o5Vw4+8IfLOb/0M2ssF3Ti134jmXv7ARSJkzaRMIY0tr9dZryeL34gL51f32RY8rG7/kMd0ed71r1m4T41PLVbrqi4lAI5x7KwvdohZkuLda/fhXd3mePM+GRWSWNACu1KOCEJIbh+n9p3uS+BdipCdy0pYk23PX8YJoBeQwBhQis+AoantIUFwwQpQjdmoxSZxaNHhxq9F6ZacPFHDyktaKZH2UnYbXv5+dDyae8yYcgSRZH0FyypEyROIWLau9337v/ot19ohBkqoBw55Lmc4kSJ+ROPlR6d5FX6vut9/z0pofsWvNjBySyayeQ5oXiWWQABBAZgEAjAYOCTp+Q4Kh9de/5D84A2sNMgsAYDRwSNDxm3Htdh6v6hBjMBOQWQAAo4FDgo7fgLHXf9HYFV5mBEACZBYAwGjgkKDjikTTQOgQafGN2QCkQGYBAIwGDgk6rgidB6s4LwYAZBYAwGzgkKDjAGgBmQUAMBo4JOg4AFpAZgEAjAYOCToOgBaQWQAAo4FDgo4DoAVkFgDAaOCQoOMAaAGZBQAwGjgk6DgAWkBmAQCMBg4JOg6AFpBZAACjgUOCjgOgBWQWAMBo4JCg4wBoAZkFADAaOCToOABaQGYBAIwGDgk6DoAWkFkAAKOBQ4KOA6AFZBYAwGjgkKDjAGgBmQUAMBo4JOg4AFpAZgEAjAYOCToOgBaQWQAAo1l3h1QplbFhw4YNGzZs2KTbDazFijgkgpYuAHpAZgEAjObGIgaHBADIA5kFADAaOCToOABaQGYBAIwGDgk6DoAWkFkAAKOBQ4KOA6AFZBYAwGjgkKDjAGgBmQUAMBo4JOg4AFpAZgEAjAYOCToOgBaQWQAAo4FDgo4DoAVkFgDAaOCQoOMAaAGZBQAwGjgk6DgAWkBmAQCMBg4JOg6AFpBZAACjgUOCjgOgBWQWAMBo4JCg4wBoAZkFADAaOCToOABaQGYBAIwGDgk6DoAWkFkAAKOBQ4KOA6AFZBYAwGjgkKDjAGgBmQUAMBo4JOg4AFpAZgEAjAYOCToOgBaQWQAAo4FDgo4DoAVkFgDAaOCQ1kXHA895Y12cNHcrd1rOZNGlAWvAwjIr+NI92KqU9trO1WIKAABYCWblkL5263crpXLmVt1vX1za7uj2JZ45a+GQRvZhNbwXcEhgLsAhAQCMZqZ9SMHQPtqtlMqV0sMT9zr+2HPedJo7pXKltLFz9N4LbnZEXayFQyKEkGBkH9XgkMC8WJvMAgCsJjN+yjZxWpulcqX0uOslKuHAH5w1quVKaWOn1fdvdkw9rI+Os7sDhwTmwvpk1noxcuzfl0rC9aP9lIPRb71/zEGW1/De3Y65OSRCyDe7ea9SKleqR/ZoifqR1kfH4ZDAPFmfzFonrpzW47azVrWs/lP2++29Y/2yvIb37rbM0yFNPOtxpVSulO4v1U1aHx2HQwLzZH0ya20IfOd4Z8kEXDNzOOUrp7WnX5bX8N7NgHk6pGu38zA9SmnhrI+OwyGBebI+mbUeRCMl1qeWncMpjwadA/3DQ9fw3s2GOTokv9/e3qiUyrUDa7hED9lWWMfHnmO161uVUrlS2j20Bv+SO6Sx57w9ae6ymW7bzRPbTeXQyLU7h9sb9Du1eqvrRAPuR6592b1oNar3287Id9+161uJIfncUP1ypbR72LFdn4+AwHftuACljZ1mJzntMfCcU7qHrUbLcryRe/5qyrMYe845PQVa/olrnUEsdLKgzBq59mW30xSay75rW9br1n7tTsuZkMBzuq39Ggu2c8cbJ/fhu3YcsTTkxsL+8wK+MBSFbJJlxCwCvngP0kuXVbCwIhc2aUtYeg2zhKW4GKLa8N95FYpbubLdPLkUvzTFHc9ShvxTzletwHd7Xetlu7612XImCSk+7bOi+p9PolOItrrlZV3P+IxG7vvjRrVcKe0+tWl1ept7p1IFrCnzcUhcNG8/s9N6tFBW1CGNBp2DWnW//d71CSGB9+n5k0b9z6nGymjQOdisv/jkjQkhgffhmMo9P5re/3xSvxfJSuC9f7q9EWam77Tuhyl3/+eLy/PecEJ3sttxA8LaLnf2j6kmBN6n5/u1Urmyfeyw7B179rOduIKhf5Yr1SfdYRgnwZfuwb2oBmKFnO4sxkPrSS2KPVYMNKf0sojMEgKS3d9gcLIb1hx3nnXf/a3Nqqgrp7WXarPR1nZUjYUByYKnMOCLQpFN+A0rtnD+r1CG2wd88R5SqBSMrepSnDhMJcKMC0Vj65H1paB1nKc2YlG3j7rUkfjur9T9xAmufscLlUF6ygWqFbidB6EX2fzp4t3z4zPq31g3gXgdPKtR2Ic0cdp3ouVanr1+Z/U83+u/aFQ3HnQGwa3unUIVsMZockgZGxOR5WIVHdJ4aD2ple4d2t/iz9giMXwqUnWIzAohhARD61G1zK0lc+W09irCd8JKIrqbYfbWmnZiwatgaD2qisvSsGJEGZjOW/rJ3Yb1lf3C7Qk+cKMAACAASURBVDxIeG5hYKPCWQSDk92taIfheWHQol4Wllls9S+hMmDSVD04GXBBSisnPrr8fnv7rlA9sPDeeNAZBMIn6YBXCMV0dZgqw+0DvmgPMhQKpuyQ2JDTzXhn4SDUrA4ShoLaMJeTGKohMbtKd7xYGaSnXKxaUclr9bNBfDqy66DikPgzSgi7dA+q906lClhr5veUjZnTqFdjaVhBh0RriKQfDZMzSqRgcLK7sZlIzLD5RT8P3M4Dvm6gX/HeP93eiMWI/SStm9du52Eq88PhaOzzK6e1J/QYMWWJtWbitDaTbZrr+JGBwlmwKi0hBHjKppmFZRZzMEJAsmZ9IhrZNyO9osGZqH1pDwHX7s8KeJVQ9PttPnckZZhBwBfsQYpCwZQdEh0ULPSUsKoh1yGpqA2rv9P7YbY4dg9Kd7xYGaSnXKxakdBtJo+fug7KDkl+RuQW904lYtebeY7UjvoeFfpa58jKOSS2MmQ6vhMjtfmuYMlWtzyW5KkmS5IM3eT7uiVbOkjGnvP312y4QKIPKXNEgsJZcCWp7rctyaAGoIOlckjyeihRkdA4KV6ORB7wSqEo/MBzLl+Gw1MSfUi3Cvj8PRSTUTD1p2yJnb25aDWquYNsCCFKaiO3HYSQaDWZuGNP/Y7nKUPhKctVS9aRRo9/c4ek9M1p7t3UEbt+zNUhxQ9Tl+lx28o5JNa7W+iQaEMz0WKT7eqmDonebpV7HXiO1WpUN3aav7xx3E/J1pg40lAclalwFoSbyhENY3wrGZ8LZop5Don+eVOHpBaKhJBo4PDuYeet8/VDqrl/+4DP28MtCjaVQwqHJ283Ty6dr/3CPiQVtckUt/h5XHQIlTterAzZp1ygWvN2SDe4d+oRu7bM1yHFr2/LnQQxX9bbIUkGD6V2VZhCuQ6pqL4JB3U22WBGSX81Sc0ciZ/uK5xFdDbi5JrEAAUwa0x1SMXLkeQ4pMJQDAf5RjOqJA9EyCwCPnMPtyiYskMKxw5H87YUnrKpqE2qoygmNcRHySHRI+coQ0Z/YbFqzdMh3fDeTSGe6woc0so6pHTcy5+yyR3MtWt/9KIxQ9J+oNHHbo+29vKfsskbhYH7W8+bhJM7+DpJ6pDYjzjRZ0qqcBaJy8Op4TL1Za4e5jkkFrHSSjoY9d72WIzlPmXLC0U6QEcMPLlDYru8dcBL9iBDsWCKDomOmxYOp+CQVNQm5zv0X9xB1R0SRa4MslNWUq25OaSb37upxXP9mK9Dit4wv0w108o5pPANtam4T64YGdYHktcJ+86Z5QbRriRDx9IVRtoJhXImWeLhyjl96wZhkYR4SI/UfnUujpwdWk9qyTFGOWdByOT3s3Nx+Cebr7FETn31MM8hxW9G4gfhUr71rI9hkyMj4ItDUdZNIhmpfduAL9iDBKWCqTokWVecgkNSUptw6Ex6phW9d9xBlXoNC5Uhs+slX7U0OqSksN/i3qmI53ozR4cULtKAkdraYU2cxGSWUCXjBAs/EZc7C7z+2dGPrIaI1gjgFzojY885f9rqsR+wbJT0+oRyI65CFnjO6bOn1pdArjVU6YS5bH9KrDLqWY24k0zhLCZOeytR533t1u8u2ysCV4xFOyTBwciliU2KjqsNPmLPoqE7geec/tiO9pYZ8IWhKKvMWLtRmMt2y4Av2kMapYJlt4VEJA4pdD/5g39V1Ea+ihUtraB4Sne8WBkkp6yiWpJxUYRIJhSTLN8jIaN6vc29UxDP9WamDin2QLuH1oCvm7klO7canc/parvoGblGVtAhxcMPtxqtd64fEDL2+q/+8+j7aPAm08r4lvGbYGHDRdvE78TdQuFqaXL9jf/Lb7G6sUxmURF4/bPWj4f1Ldb28v/5xv6vMZ26HCUwXdVNWFKy6CzYnN7IpY29/otGdbmc+uqxoMwKHzoIlSirVsXY5qoHbnFRWcSKS2bnBHxBKEb9u3Sky9hzXrZ/aoavgxj5g/f2H9eTWwd88R5SF02lYNGTrJ1W3ydjr2fZ8h2Go4Woqgeec3r8c/P7cLna0eCy90fW074CtSGEREtRb3ALS344rm+JlYjaHS9WBtkpK6hWEL5DIrX4LbWAXB8Y68jZaztXJBj2znvyd07ENz3hcm537xSqgHVmVg4pGmCUvW03T6zL5Nsk4JC0wS20zxrEY6e1Wdo97Fx0hYkt/Pr9dF5GatYL/4S+ut++6IXr2fNLDNMt3bAOfLf3miuJOK0m8F2LLZbPJtxGC9SypbMmzqtzdySYbOEtEApnMfn97Hww4V5+csNZ0GAaFpFZ6YB83P36MV6PmG51y0tLVtysF8Y41+qt1/FLGFQCPj+hRq51JARhtAJy/fhXd0RmEfBqe0hQXDBCCPEH3WbqQ8l9YF+LDh0tqx222bLJVBuOwHMuf+HfTPKaf1EGvwJ1/h2/VlAGySkXqNa/kisn321YX8Puq3gLH8BFe8u+OOkzEic/3u7eKVQB68qsHJLBrKpDAmCxILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDRwSNBxALSAzAIAGA0cEnQcAC0gswAARgOHBB0HQAvILACA0cAhQccB0AIyCwBgNHBI0HEAtIDMAgAYDRwSdBwALSCzAABGA4cEHQdAC8gsAIDRwCFBxwHQAjILAGA0cEjQcQC0gMwCABgNHBJ0HAAtILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDRwSNBxALSAzAIAGA0cEnQcAC0gswAARgOHBB0HQAvILACA0cAhQccB0AIyCwBgNHBI0HEAtIDMAgAYDRwSdBwALSCzAABGA4cEHQdAC8gsAIDRrLtDqpTK2LBhw4YNGzZs0u0G1mJFHBJBSxcAPSCzAABGc2MRg0MCAOSBzAIAGA0cEnQcAC0gswAARgOHBB0HQAvILACA0cAhQccB0AIyCwBgNHBI0HEAtIDMAgAYDRwSdBwALSCzAABGA4cEHQdAC8gsAIDRwCFBxwHQAjILAGA0cEjQcQC0gMwCABgNHBJ0HAAtILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDRwSNBxALSAzAIAGA0cEnQcAC0gswAARgOHBB0HQAvILACA0cAhQccB0AIyCwBgNHBI0HEAtIDMAgAYDRwSdBwALSCzAABGA4cEHQdAC8gsAIDRwCFBxwHQwsIyK/jSPdiqlPbaztViCgAAWAm0OaTAcy4vTpq7lVKZbdvNE+vSdkck+NL93y/d4GbHnT1wSADoAA4JAGA0OhzS2Ou/aFTLlep++6Ln+swKBZ7z5qLVqJYrpXLlTsuZ3Oy4swcOCQAdILMAAEYzc4c0GnQOaqVyrX428CXdRIH3/un2BhzSEhCMfuv9Y2nuwrKi/yqNHPt3X+cBFsa6Ztaqs7oRaw4ro0vLXg3N1iGNh9aTWqlcqT7pDscZPwx853in9LjrLctVWVMd9/vtvePl8alLivardOW0Hred1axv1jSzVpxVjlhjWBldWvpqaJYOKRhaj6rlSmnjQWeQO8rom91swiEtlCuntbdUPXlLie6rRFsL91e1vlnLzFptVjxiDWFldMmAamiGDuna7TyslMoVhf6hwLXOlibH1k/H2ZPQJQ/NRaP7KgX+4KxRLVdWt75Zv8xabVY/Yk1gZXTJjGpodg5p4rTvlCulcmW3szzz1FRYTR0PPOe0uVMqV0pbjZbleCP3/JUzIcT/fFLfiicY0q1uefRXvmt36K/C6Ye2y7LEsxrCr+42rK/hwb5263fZ52G4B17/jM5krO63LcebDM5Pfy9OBKEAtOSJx7WB7/Zet/Zr7Du7h5234ndGrn3ZvWg1qvfbjk8Cz7HC+QHbzTPHE2Jz5leJ/teyXrf2a3dazoQEntNlpd3YaZ6HRQ3VQdiW6NHzTFhQZo1c+7LbaQqNYKWbwpEXh3yAjXz3Xbu+VSlt7By9D2Nr7Dlv42m8ifBge+gcbm9U4hi23cSozazIjCk6SvEepJcuq2DTR2x+mkgIfLfXtV6261ubLWdCxp5jtVka7h6e9r1ktTJTKcinWJcI8V07mopU2thp/vJGOMSidUmpAFPd5aJEyClP/onQeV3xb2UJMi9m5pACt/OgVK6UyrWmPbp1sebJCjqk4Ev34F4UqYH34bi+JVh1andE884G0W8/s71x/Gdp65H1hcWmP+gy03NkjxLx6jut3fiIQ+tRdfepPQwIieY2bhY0FWjbJZLCsWc/2ymVo/IQEn24e2gNfEIIGbnvjxvVcqUUHSvqyCxXSvd/tqzj1kvHG4f9xuIIOR1XKRic7IYVzJ1n3Xd/a7PTuXJae5VSuXZgDeMrR53lyrbIF5FZvtO6HwUAu7DT3ZT8OBT2//PF5XlvOKGRw1qGo0HnYLP+4hMLjw/HtNpo9dk9Dob20W4csexPsQyFkVl8lMI9pFApmHLEFotJ+idhDVIplTd/unj3/JhV236/LfntTKUg91QUdIme4N2dpuX6ASFByi4sWpemuxoqd7kgEZQCQHYi7ILf2T+m1zvwPj3fr5XKle1jZxEmaWYOaeK0NmlwL3WfmYTVc0iB23mQMP6JAXGS0Jx41mPx9rFPeGvP1CotLsHgZO+H0DZdu52Hwq9I4DvH3+UHht9vb9+NJZ5EvZLRsDaazIlRbrIMZz/canQ+cylO0z7u+tJ3lVguVA9OBlxjgXXC8UeEQ9LDyD5MPSZQvSnFcRj3l6dag+Oh9aQmSnk4OjNcnCkdVKkyFEVm8VGKYzuNQsGUI1ZNTCSwelecCp3+7YylILdECvFAVTHx8CRt7BatS8pXQ1mXMhNBrTxSqze0HlXFlczY8mYbwl2YF3BIK+iQJk5rMxlP10IfuyQ0qb4IHp/dU0HU6HTFZLAGbue7OEmozCWiPP8pG23iPDxxr7kPaXMt6p6heZLu8v1mN+8JWcr6DBIZTksVC4G+q8Raw4m2EVMTOCT9sEstXFi1m6IQhyQrwNjnSQEMe7DY536/vb0hdMykAqMgMhWOUhzbaRQKphyximKShnV1bCbvkvjbWUtBUXny44FKYnpvwcg+qvE97ovWJeWroaxLWYmgWB7JiVy7nYepXqWwA2wRI5bgkFbQIcVPPOutrvRxu7x7k9sDv7xnQtQk3Ujf7OZjTkSiHt2MB/aS4w1OdjdkD+9SJyUpc0qJ5BmeFAKNV0n6QzikuSFzSEo3RSEOCSFZN45/TiTZ0uYg8JzLl+FQm0QfUmZkqhylOLbzySjYzSI2T0ySpPseCElVrjOXguyiK8RDpkuI+jLvHdrf1AujU70Vr4b6XVb65hQ6yT8Ql2wLGKk5M4cURkNhDiwdq+eQkgPutpsnl2KqZeZYODpyu3ly6XztS5t91ABxncwj+3Av0cPMD8RLD1pMQSuqXCViKinThdCdR/mjKATarhIcEiHERIekEIeEkKwbR1v/RWudEEKioeK7h523ztcPqcDIi0y1oxTF9g0LNlXEqohJAiWHNGspCB8ApStjlXiQBpvwr+hAi9aleTuk6XWSXrFlmuw1O4fEej5V9GW5WEWHRAgJfNfm34snPNqX5lg4VDOaNpLZMU7dMLvRwcj+4TuJXifmxSQefoswKUn0Zgunk2odciQHTKg3HPVcJTgkQoi5DikvDik5Dqlwqgp9RsPNoZMEBsmJTLWj5O3hFgVTf/6iLCYCKg5p5lJQ5JDy4yHZUcSTGOKzaF2ap0O6mU6qNlHmx+wcUhS48lgR8f/vG/vrklyDFXVIFD7TuHanJMfovB6hbZotalw3kjBGOw3vk7KFhnWuSlvGwaj3tjcKws5nyU7Yv+KWx7Rd67O+SnBIhBATHZJCHBJCCp6yyfX92rU/etFoYr6VLHdIbJfpyFQ4SsEeZCgWTDFipxITnmmesmmRgsTuFOIh5zvsX1E5F61L83NIN9VJdsXkFiJwf+sZ/JSNcN1IBRPzrv5x+dtwSfzRKjqkifPqXBxayN4GE0VnlnkXRSdH1Njcme3jT84v3yWbs75zagndpCwwciSJDbGUTcH91rM+jkisVqkZDdSa89moJAQarxIcEiHERIekEoeEhDcupeNRiMZrI4X4zpnlBiwIxdpUMlI7NzKLj6IQ20mUCqYasVOKCf9LFYc0cynIRiUewmGX6VqPdi9Nadd0qrcmh5RKhJvrZHQxhcUUCCGEXDmnb+f/9G2mDonEA1Bq4VodKUYD61VPZfTuvFhFh9T6k7CKCYvFuGeehibfDJXEdNgpKBc12kq4u7O9l/L7vtP6s7h4CRW+vM7FcLqyuH5a4DmnP7bZr7IWMvlmN+8J8pR8/E9hy1pG4qvvKqUGQ3B7E3QnQ19WhUU7JOHCKt4UhTjMCjASV2aljZ1mx3bDCVVe/+zox+5wLDci7DGNMJctNzILj6IQ20mUCqYasVOLSaIYia+FT8HiqnTGUpCDUjzIV2yip8xN6V20LilfDWVdykoExfKkT0S84PEKk4HnnD57mr2Ylj5m7ZAIt65gcpHTkWu/Om51ROfEsr3oGblGVtIhbfLqSRfdEhYlo42wvbZzRYJh77w3DMKJsvRGBJ5zevxz8/twVfjR4LL3h3h/Uh3aEVTm4oVQ6aJntUTaJwmXYhO2REM5HMMYqRU7NX6Rm1A9xcXuuMRjAqrtKrF1CEXF5Gq1uOHLHlbutPo+GXs9y1Zaws4YFpRZ0gBQvymFcRh/QWI4woUWxS06aDSGhkbs2HNetn9qhi95GPmD9/Yf1wqRmX8UhdhOXTSVgilH7NRiwmBWI72CIp32wS8gMkspyEVFl6I3dXALS/ZfNKr84MuF65L61VC8yzmJoBYAkhPJuuDloupDFxocEiGErh8fL8FOmzu/dCWrzsMhzZ6J8+rcHXEvJUjPug981zrc3qiUthqtd2xB99jasu9HC6HG3xH4Zjf/h+wJve+cWu7Ecy5/YSOQ6ItHim+vMD6xVm+9lgWM8LKF6n77oseVjV/pNRpxeZ0aiXm/7fhartJVn717J9rqlse/lYVuUWs43Futfvyra9Za9MUsIrNkAfD143Q3JS8O0/tP9ySNXPtVOFVe9vYJ62gn3HPX8YJo9eowBhQis+AoantIUFwwQpQjdmoxideLES5s8mVHfFfHzKQg97IQNV1KvChjq9F6ZcfXZ9G65I+muxrFd7koEZQCQHYi7HPufTLKMzF1oMkhmcTqOaR5kVgGCQABZBYAwGjgkKDjNyQYWn/9y2J6PoERILMAAEYDhwQdvxnXbufxqg4xBjMBmQUAMBo4JOj4DRh7/ReN3cW8bBmYAjILAGA0cEjQcUWiiT90XKT4jnQAUiCzAABGA4cEHVeEzl9VnBcDADILAGA2cEjQcQC0gMwCABgNHBJ0HAAtILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDRwSNBxALSAzAIAGA0cEnQcAC0gswAARgOHBB0HQAvILACA0cAhQccB0AIyCwBgNHBI0HEAtIDMAgAYDRwSdBwALSCzAABGA4cEHQdAC8gsAIDRwCFBxwHQAjILAGA0cEjQcQC0gMwCABgNHBJ0HAAtILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDTr7pAqpTI2bNiwYcOGDZt0u4G1WBGHRNDSBUAPyCwAgNHcWMTgkAAAeSCzAABGA4cEHQdAC8gsAIDRwCFBxwHQAjILAGA0cEjQcQC0gMwCABgNHBJ0HAAtILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDRwSNBxALSAzAIAGA0cEnQcAC0gswAARgOHBB0HQAvILACA0cAhQccB0AIyCwBgNHBI0HEAtIDMAgAYDRwSdBwALSCzAABGA4cEHQdAC8gsAIDRwCFBxwHQAjILAGA0cEjQcQC0gMwCABgNHBJ0HAAtILMAAEYDhwQdB0ALyCwAgNHAIUHHAdACMgsAYDRwSNBxALSAzAIAGA0c0rroeOA5b6yLk+Zu5U7LmSy6NGANWFhmBV+6B1uV0l7buVpMAQAAK8GsHNLXbv1upVTO3Kr77Qure+l4we3LPGPWwiGN7MNqeC/gkMBcgEMCABjNTPuQgqF9tFsplSul3UNr4Mefe87ly3Z9i/3rtL9UPmktHBIhhAQj+6gGhwTmxdpkFgBgNZnxU7aJ09oslSulx10vXQmPBp2DWqlcKW3sHL1fHpO0PjrO7g4cEpgL65NZ68XIsX/3i78GNBKMfuv9Q6uMz+ku6z+R2zFPh0Q4k7T1yPqyJB5pfXQcDgnMk/XJrHXiymk9bjtwSAvF77f3jnXK+LzusvYTuS1zdkjREIFypfqkOxzf7NizZX10HA4JzJP1yay1IfCd453SfTikhXLltPZ0yvjc7rLuE5kBc3dI0WiY0saDzmAZupHWR8fhkMA8WZ/MWg8Cf3DWqJYrcEiLJHwOo0vG53aXdZ/IbJi/Q+LmVdUt72YHnymrq+Njz7HiAfLW4F9ShxR4zuUvh9sbFTpErNmx3VFqVyPX7oTfKdfqrW48K3Hk2pfdi1ajer/tjHz3Xbu+lRhqFnjOm05zh01s3D3s2K7Pe+PAd+2T5m4481FWhsBzTukethoty/FG7vkrMa/GnvM23sl288R2/en2AGbMgjJr5NqX3U5TaAT7rm1Zr1v7tTstZ0ICz+m29tmYyOa546U6s33XjiOWBsxYtquR+/64US1XSrtP7WEY00WhKGaTLCMWFfA5BYsGSPBbrs4L11B6HRIEvtvrWi/b9a3NljNJyJdkfk/gu73X7D7S0r4VbyUvTT4JPMdqNaqsMGdTzavOiQf+Oxfh/ksbO81f3giHmKYwWffO/3zCLgi3RdVowQVXKcBUd7lI+XPKk38ixVXG/FiEQwoGJ7sbyzPtfEUd0mjQOahV99vvXZ8QEnifnj9p1P+c9Oz+55P6/cbzD15ACBl7/ReNajk5Tdr/fFK/F1Ukgff+6fZGWCX4Tut+GOL3f764PO8NJ96H4/pWZbfjBoS1SO7sH1N9C7xPz/drpXJl+9hhET/27Gc7cV7RP8WHsMGX7sG9KPECun8heEaDzsFm/cUnVsIPxzRXW31fdQ9g9iwis4SAZA4pEpxSuXLnWffd39qsur1yWnuVUrl2YA1j+aVt6KhKDgNy+5ntjcnEad+JVs149vqd1fN8r/+iUY16xAtDkU74DR1VOP9XKMNCAl6lYGxVl+LeBaYS9KLFopE3/DRwOw/CynLzp4t3z49Zte3325Lf0vsSTZpOW9Vrt/MwlibLOm69dLxx+AhJfZhHbjwI53t3p2m5fkBIkLIL0xSm8N55ViNVexZd8KmuhspdLlB+pQCQnYhClTFXFuGQ4sWT8r82J1bRIY2H1pNa6d6h/S3+LBoBFkUkTcVIVeMf8uF45bT2xOgMc4N5IBJVG7Wmneh9CobWo6rot1gxIjVPZyP95G7D+sp+4XYeJEJFGN83HlpPamL+BEPrEWf1ivYAtLCwzGK91ILEM2mqHpwMuCClGs3Hht9vb98VkoKFdzwqIFQ5Mb8IUQlFSa2QKsNiAl6hYMoOaeJZjyul8ma8M/ZJ0XMDpi21+tkgPrv0b2m9nhinIavs2b3banQ+cyVOKkxuiYrjgXm4SA/5D3lPoFaY4nsnMRZqF1z1aqj64GzlVyuP1OoVVxlzBQ5pFR0SrSESGRvFaBiRgdt5kEqDsCXHPg/czoPUiDHaIIgbl6yNns6oa7fzMNVECFsz7PMrp7UntmCoSsYZO3Fam8n0uI4fGQSDk92NzWQ7hHUb0M8L9gD0sLDMYsItBCQL7EQ0sm9GQkSD8+GJe819iXYbxFWdfFdEKRRpxSl0zCTLsKCAVyiYct1JzYrQYcCqhgKHxMRhM3mXxN+yKjNdfXyzm/eEClsuTUmFKSpPfjzQVmV6b+GI2+qRPQrUC1N87yTGQu2Cq14NZYeUqfxq5ZGciEqVMVfwlG31HBLLzKSGJkdq8/2u6Y0mDP1Ouq2cICOj+Kcbki0dJGPP+Xs4sCDRqEqPfyKJ/8q3uuUV7QFoYqkckrxLP2ECaMRGVVoW8qcDSqEo/oBfSjfRh7TQgM8o2BR1p7izN9EAnQKHlO57ICRVuWY61LQpkRdY2SGpxEOmS4j6MiP9VCpM8b3LCL+4RJkXXPFqqN9lpW9mlid9IlNXGdpZhEMKR2qnH8oshJVzSKynusgh0a8lmkfSXd3UIdHqJ9mVJYMNG6TDG91PyYwVxw9uN0+419fQJlfRvMi8PQBNmOeQ6J83dUhqoUgIiYaK7x523jpfP6S6ahYW8EUFm8ohhUOtt5snl87XvkofkpJDypmTm6qAVDxB2LmeroxV4kEabMK/ogMpGpSie5fpkAov+JwdUlF50ieiXmXMi/k7pGi2/7IsGrneDinf/dDvFMpxrkMqqm/CMX3RfAppCy8x3y0eqUBPSsFtZ+4BaMJUh1TQbMh3SIWhGE5NiObQSR5mkUUEvErB1J+/sHHf0Rw0tadsKg4p3VHEkRw7NQuHlB8PyY4insQQH/UOrdx7Jw0/pQs+R4ekUp4sh1TYRJkjc3dIUTfagoamp1lVh5TWUOlTNrnUBn/YvWH8JE5q6kcfu72c3uPoXstNWOD+1vMm4XhGXoNy+sB54WC+jXVKy5Pq2rU/ekV7AJowzyGxiJUGRjDqve3RGMt/ypYXiuFoYj6h5A6J7XJeAa9YMMW6k04SFA43O4cUPYeSGBf2r/gsZvGULT8ecr7D/hWVc9rCZNw7SfgpXvC5OSS18mQ+ZcutMubLnB1S1H+4RK/dXjmHlNnGSvROh0LDL+XC9uA7F133OrfDj6swWJ6kwzo0WOLMWEIIIVfO6Vs3CIskOLD00MVX5+JISTbhjiZbqFCSl/35zpnlBoV7AHowzyGFQ31lU8G/9ayPI35XaY9SHIqyTlnJSO35B7xSwVTrTlnXywwdUnwFkpObqF7xZ3E7h6QUJxjCjQAABOZJREFUD5HKpdr8yRkzSoUpvndZXS/FF1yTQ0opv2J5skZq51YZc2aeDil+KZs423DBrJxDiiaabshn8sdzK8L5/8KSXGPPOX96dBnOU+O+Ey/aNvac86etHqswko/bY8JJyOJyYYHnnD57an0JiNQhUVUSJnf8SViUhaVW2PsVnpe41GTg9c+OfqS6VrQHoIVFOyRBuOXSxB7KxJUBH7HxOn6B55z+2A73lq1yhaEoMyLsMY0wl23uAa9UsOy2kIikggzbWmqz/cWvJSfhZqziQ5h08E5FLk1sMnV6HEIalXjIWLGJnjLXF6BWmOJ7lzboihdc9Wqo3eXMHSqXR9bSKKwy5sxMHVK4yFglXsiLfs7NjJAtZsouSmKpknmxgg4pXjl+q9F65/oBIWOv/+o/j76PBgDSfAsX8hKfwYu6I/9O7PHDJdTk+hv/l9/iScVMhZlpDrz+WevHw/oWy1j/n2/s/xrT6a9RZUDXEBPWWIsCj99iwZoU7gFoYEGZFVafwmqHbHFIsRrjrEbclpBGLNdhEwebrAopCMWof5dq3dhzXrZ/aoYveRj5g/f2H9fF4Tr7gFcqWNjEp5dr7PUsW77DcNY9HT0TeM7p8c/N78PlakeDy94f0rqOWY30Coq0kcY/eQjb21GFws6Rr0SkkcDXwSojPYrigR6I6S23sGT/RaPK9wWoFkbh7tMutL22c0WCYe+8NwxULrj61VC8yznKrxYAkhPJuuCJlUvnx6wcUrTEUcZW3W9fWN2MVefhkHTAvVqB6cjYaW2Wdg87F11+coSwWH565f7wO9Ea8NX99kUv7HDiV1alm2RdEOHlAMmpGYHvWuxFB9X9tuV4QbSsNlsQfOK8OndH3DsWpKv+j1z7VTg/Obnkv9oewIxZRGalA/Jx9+vHeCFsutUtLy1ZfBcFN062Vm+9joSLX1M72n+yJykvFAkZudbRTrjnruMF0erV9eNf3RFZWMAXF4wQQvxBt5n6UHIf2NeiQ0erKodttiRhz5yoJKyTL964rg7xvSuCLhF5JHjXqUHZKs+SsuOB/5LwooytRusV9+qkKQqjcO8izeQuZsEFH013NYrvcpHyKwWA7ETY5zlVxlyZlUMymFV1SAAsFmQWAMBo4JCg4wBoAZkFADAaOCToOABaQGYBAIwGDgk6DoAWkFkAAKOBQ4KOA6AFZBYAwGjgkKDjAGgBmQUAMBo4JOg4AFpAZgEAjAYOCToOgBaQWQAAo4FDgo4DoAVkFgDAaOCQoOMAaAGZBQAwGjgk6DgAWkBmAQCMBg4JOg6AFpBZAACjgUOCjgOgBWQWAMBo4JCg4wBoAZkFADAaOCToOABaQGYBAIwGDgk6DoAWkFkAAKOBQ4KOA6AFZBYAwGjgkKDjAGgBmQUAMBo4JOg4AFpAZgEAjAYOCToOgBaQWQAAo4FDgo4DoAVkFgDAaNbdIVVKZWzYsGHDhg0bNul2A2uxIg4JAAAAAGCGwCEBAAAAACSBQwIAAAAASAKHBAAAAACQBA4JAAAAACAJHBIAAAAAQBI4JAAAAACAJHBIAAAAAABJ4JAAAAAAAJLAIQEAAAAAJIFDAgAAAABIAocEAAAAAJAEDgkAAAAAIAkcEgAAAABAEjgkAAAAAIAkcEgAAAAAAEngkAAAAAAAksAhAQAAAAAk+f/jMmQp0euuYQAAAABJRU5ErkJggg==" alt></p>
</div>
<br><hr><br><div class="question">
<p>The horizontal component <em>v</em><sub>h</sub> and the vertical component <em>v</em><sub>v</sub> of velocity of an object are shown on the graphs. Air resistance is negligible.</p>
<p><img 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" alt></p>
<p>These graphs could represent the motion of an object fired from a cliff</p>
<p>A. vertically upwards.</p>
<p>B. at an angle above the horizontal.</p>
<p>C. horizontally.</p>
<p>D. at an angle below the horizontal.</p>
</div>
<br><hr><br><div class="question">
<p>The resultant force acting on an object of mass 5.0kg varies with time as shown. The object is initially at rest.</p>
<p><img 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" alt></p>
<p>What is the speed of the object after 1.0 s?</p>
<p>A. 0.50ms<sup>–1</sup></p>
<p>B. 1.0ms<sup>–1</sup></p>
<p>C. 1.5ms<sup>–1</sup></p>
<p>D. 2.0ms<sup>–1</sup></p>
</div>
<br><hr><br><div class="question">
<p>A sunbather is supported in water by a floating sun bed. Which diagram represents the magnitudes of the forces acting on the sun bed?</p>
<p style="text-align: center;"><img 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"></p>
</div>
<br><hr><br><div class="question">
<p>A ball of mass <em>m</em> is projected horizontally with speed <em>v</em> from a height <em>h</em> above the floor. Air resistance is negligible.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The horizontal distance travelled by the ball to the point where it lands on the floor depends on</p>
<p>A. <em>m</em> and <em>h</em> only.<br>B. <em>m</em> and <em>v</em> only.<br>C. <em>h</em> and <em>v</em> only.<br>D. <em>m</em>, <em>h</em> and <em>v</em>.</p>
</div>
<br><hr><br><div class="question">
<p>A speed boat tows a water skier so that the skier accelerates.</p>
<p><img 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" alt></p>
<p>The magnitude of the force exerted on the skier by the tow rope must be</p>
<p style="padding-left: 30px;">I. greater than the magnitude of the total resistive force acting on the skier<br>II. equal to the magnitude of the force exerted on the tow rope by the skier<br>III. equal to the magnitude of the force causing the boat to accelerate.</p>
<p>Which of the above factors is/are correct?</p>
<p>A. I and II only<br>B. I and III only<br>C. II only<br>D. III only</p>
</div>
<br><hr><br><div class="question">
<p>A student draws a graph to show the variation with time <em>t </em>of the acceleration <em>a </em>of an object. </p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p>What can the student deduce from this graph only, and what quantity from the graph is used to make this deduction?</p>
<p><img 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" alt> </p>
</div>
<br><hr><br><div class="question">
<p>A ball is thrown horizontally from the top of a high cliff. Air resistance is negligible.</p>
<p>Which of the following correctly describes the changes, if any, to the ball’s vertical speed and horizontal speed?</p>
<p><img 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" alt></p>
</div>
<br><hr><br><div class="question">
<p>A ball is thrown from the top of a cliff. The initial magnitude of the velocity of the ball at time <em>t</em>=0 is <em>V</em>. The ball hits the sea at time <em>t</em>=<em>T</em>. Air resistance is negligible.</p>
<p><img 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" alt></p>
<p>Which graph shows how the <strong>vertical</strong> component of the velocity <em>v</em> of the ball varies with <em>t</em> as it falls to the sea?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<br><hr><br><div class="question">
<p>A girl is standing on a moving skateboard. She pushes backwards on the ground at intervals as shown on the graph.</p>
<p><img 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" alt></p>
<p>How much kinetic energy is gained by the girl during the period represented on the graph? Frictional forces are negligible.</p>
<p>A. 200 J</p>
<p>B. 400 J</p>
<p>C. 600 J</p>
<p>D. 1200 J</p>
</div>
<br><hr><br><div class="question">
<p>The diagram shows the trajectory of an object projected in the absence of air resistance.</p>
<p><img 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" alt></p>
<p>The object is then projected with the same initial conditions but air resistance is taken into account. Which of the following is the trajectory when air resistance is taken into account? The original trajectory is shown as a dotted line.</p>
<p><img 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" alt></p>
</div>
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