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1 Honors Physics TEST: Kinematics in 1D 10/30/12 Part 1. Multiple Choice: Answer the following multiple choice questions by picking the selection that best answers the question. Write your answers on a separate sheet. Do not make any marks on the exam sheet itself. Each question is worth 4 points except one that you can opt to make worth 8 points. Note that you MUST pick one or you will forfeit 4 points! Circle your selection to clearly indicate your choice. Use g = 10m/s 2 for these multiple choice questions. 1. In the absence of air resistance, an object dropped near the surface of the Earth experiences a constant acceleration of approximately 10 m/s 2. This means that the speed of the object as it falls is 10 m/s. the object falls 10 meters during each second. the speed of the object increases by 10 m/s during each second that is falls. the object falls 10 meters during the first second only. the slope of the distance-time graph for the object equals 10 m/s 2. (f) you didn t read the directions IF you are about to write your answer on this exam! 2. Two cars emerge side by side from a tunnel. As they emerge, one car (A) has a speed of 60 km/h and an acceleration of 40 km/h/min. The other car (B) has a speed of 40 km/h, but an acceleration of 60 km/h/min. As they come out of the tunnel, which car is in the process of passing the other one? Car A is passing car B. Car B is passing car A. No clarifying questions will be They are side-by-side so neither car is passing the other. answered! Use your best judgment! Impossible to determine with the information given. 3. A stone is dropped from the edge of a cliff and it strikes the ground below 4.0 s later. What is the approximate height of the cliff? 20 m 160 m 40 m 320 m 80 m (f) none of the above 4. A car accelerates from rest to 24 m/s. If the acceleration is 8.0 m/s 2, then how far will the car move while it is speeding up to 24 m/s? 24 m 36 m 72 m/s 96 m None of the above. 5. Which of the following statements about free fall is incorrect? At the top of its trajectory, an object s vertical velocity is always zero. As an object rises, both its velocity and acceleration decrease at the same rate. When descending, an object s negative acceleration means that it is now gaining negative velocity, not that it is slowing down. In the absence of air resistance, the time it takes for the object to rise from the ground to its maximum height is equal to the time it takes to fall back to the ground. At the top of its trajectory, an object s acceleration remains at approximately 10 m/s 2. Look!!

2 Honors Physics page 2 6. The graph shows position as a function of time for two trains running on parallel tracks. Which of the following statements is true? At time T, both trains have the same velocity. Both trains speed up all the time. Both trains have the same average velocity from time t = 0 to T. Somewhere on the graph, both trains have the same acceleration. Posit ion A B T Time 7. The following velocity-time graph represents the motion of an object. How far away from its starting point did it end up? It is impossible to say because the axes have no numerical scales. It ended up in front of its starting point but it is impossible to say how far. It ended up in back of its starting point but it is impossible to say how far. It ended up at its starting point. 8. Consider the following graphs, noting the different axes. Which of these represent(s) motion at constant velocity? I, II, and IV I and III II and V IV only V only

3 Honors Physics page 3 9. Which of the following statements about velocity and acceleration is true? A car cannot simultaneously have negative velocity and positive acceleration. Negative acceleration always means that an object is slowing down. It is impossible to have both zero velocity and negative acceleration. Whenever something has a large acceleration it must also have large velocity. All of the above statements are false. 10. The graph above shows the velocity of an object as a function of time. Which of the graphs below best represents its acceleration? a a a a a 11. Al stands at the top of a 10-story building and throws one ball down at 25 m/s and a second one up at 25 m/s. What can be said about when these two balls hit the ground below? They hit simultaneously because they land with the same final speed. The second ball lands 2 ½ s after the first one. The second ball lands 5 s after the first one. Impossible to determine with the information given. 12. Consider the ticker tapes below that were attached to moving objects. The tapes start at the left and end at the right. At point P, which object s instantaneous speed was the greatest? start end P top object was moving faster bottom object was moving faster they were moving at the same speed one was moving too erratically to make any comparisons impossible to tell using only a ticker tape

4 Honors Physics page 4 Part 2. Open Response: Solve the following 3 problems on a separate sheet of paper. Show all of you work in sufficient detail that your reasoning is clear. The point of each problem is not the answer, but how you obtained it. A correct numerical solution without sufficient justification will earn only 1 point! All numerical solutions must have proper units and be expressed with a reasonable number of significant digits. This half of the exam is worth 48 points with each problem equally weighted. Note that not all parts are not necessarily equally weighted. For this part, use g = 9.80 m/s A rocket is launched from the ground so that its engine propels it upward with a constant acceleration of m/s 2 until the engine burns out after 7.50 s. Thereafter the rocket is in free fall. Find the total time the rocket is in the air and the maximum height above the ground that it attains. Qualitatively sketch the rocket s position and velocity versus time from launch until final impact on the ground. [16 points] 2. A bank robber attempts to make his get away by speeding off at a constant speed of 40 m/s in a pickup truck down a highway. A police officer spots the speeding truck and takes off in pursuit by accelerating from rest at a steady rate of 11.5 m/s 2. However, when she starts to pursue the speeding truck, the police officer notices the truck is already 500 m down the road. Assume the road is a highway is straight and level. Find how long it takes for the cop to catch up with the robber. Find where the cop catches up with the robber or the distance from where the cop started her pursuit. Find the speed of both the truck and motorcycle at the moment the cop catches up with the robber. Draw a qualitative graph showing the positions of both the truck and motorcycle as functions of time starting from the moment the cop began her pursuit. Measure all distances relative to the cop s initial position. Note: you might first want to sketch a diagram showing the relative positions of the two vehicles at key points. [16 points] 3. Al drops an egg from the top of his apartment building and listens for the splat it makes when it strikes the ground below. He measures the time between when he drops the egg and when he hears the splat to be 4.35 s. First, ignore the issue of hearing the splat and find an initial estimate of the height of the apartment building. Now, include the effects of the sound of the splat by setting up an equation to find the height but do not solve this equation. Clearly indicate the values of each known quantity in this equation and the unknown to be found. Use the speed of sound as 340 m/s. [16 points]

5 Honors Physics page 5 Constant acceleration 1. x = x o + v o t + ½ a t 2 Equations: 2. v = v o + a t 3. v 2 v o 2 = 2 a Δx 4. v =!!!!! =!!!! Conversion Factors: 1 mph = m/s 1 m = 3.28 ft = 39.4 in 1 inch = 2.54 cm 1 mile = km = 5280 ft Constants: g = 9.80 m/s 2 = 32 ft/s 2 = 980 cm/s 2 speed of sound in air = 340 m/s Quadratic Formula: ax! + bx + c = 0 x = b ± b! 4ac 2a

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