Multiple-Choice Questions
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1 Multiple-Choice Questions 1. A rock is thrown straight up from the edge of a cliff. The rock reaches the maximum height of 15 m above the edge and then falls down to the bottom of the cliff 35 m below the cliff. What is the traveled distance of the rock? A. 30 m B. 35 m C. 50 m D. 65 m 2. A rock is thrown straight up from the edge of a cliff. The rock reaches the maximum height of 15 m above the edge and then falls down to the bottom of the cliff 35 m below the cliff. What is the displacement of the rock? A. 15 m B. 35 m C. 50 m D. 65 m 3. Which of the following graphs represents the velocity as a function of time of an object thrown straight up? A. B. C. D.
2 4. Which of the following graphs represents the acceleration as a function of time of an object thrown straight up? A. B. C. D. The relationship between the position and time of a moving object is shown on the graph. Use this graph for questions 5 and What is the instantaneous speed of the object at 4 s? A. 1 m/s B. 2 m/s C. 3 m/s D. 4 m/s 6. During which of the following times does the object accelerate? A. 0 s to 2 s B. 2 s to 4 s C. 0 s to 4 s D. 4 s to 8 s
3 7. A student drops a pebble from the edge of a vertical cliff. The pebble hits the ground 4 s after it was dropped. What is the speed of the pebble just before it hits the ground? A. 20 m/s B. 40 m/s C. 60 m/s D. 80 m/s 8. A marble launcher shoots a marble horizontally from the height of 0.2 m above a horizontal floor. The marble lands on the floor 5 m away from the launcher. How long did the marble stay in are? A. 0.1 s B. 0.2 s C. 0.3 s D. 0.4 s 9. A marble launcher shoots a marble horizontally from the height of 0.2 m above a horizontal floor. The marble lands on the floor 5 m away from the launcher. What is the initial speed of the marble? A. 5 m/s B. 10 m/s C. 15 m/s D. 25 m/s 10. Which of the following is a vector quantity? A. Traveled distance B. Displacement C. Area D. Mass A vector of displacement D is placed in X-Y coordinate system shown in the diagram to the right. Use this diagram to answer questions 11 through What is the x-component of vector D? A. 2 m B. 3 m C. 4 m D. 5 m 12. What is the y-component of vector D? A. 2 m B. 3 m C. 4 m D. 5 m 13. What is the magnitude of vector D? A. 2 m B. 3 m C. 4 m D. 5 m
4 14. An object changes its velocity from V 1 to V 2 during a time interval Δt. Which of the following is the correct direction for the object s acceleration? A. B. C. D. 15. A projectile is fired at 60 above the horizontal line with an initial velocity v 0. At which of the following angles the projectile will land at the same distance as it is landed in the first trial? A. 20 B. 30 C. 40 D. 45
5 The diagram to the right represents a swimmer. The swimmer is capable to swim in a still water with a velocity V 1 = 1 m/s. He aims his body directly across a 100 m wide river whose current has a velocity V 2 = 2 m/s. Use this diagram to answer questions 16 through How much time it will take for the swimmer to cross the river? A. 10 s B. 20 s C. 50 s D. 100 s 17. How far downstream will he land? A. 100 m B. 200 m C. 150 m D. 180 m 18. What is the velocity of the swimmer relative to the river bank? A. 1 m/s B. 2 m/s C. 3 m/s D. 5 m/s 19. The graphs above represent the position, velocity, and acceleration as a function of time for a marble moving in one dimension. Which of the following could describe the motion of the marble? A. Rolling along the floor and then bouncing off a wall. B. Rolling down one side of a bowl and then rolling up the other side. C. Rolling up a ramp and then rolling back down. D. Falling and then bouncing elastically off a hard floor.
6 Multi-Correct Questions 20. Position as a function of time of a moving object is presented by the graph. Which of the following is true about the type of motion? A. The object moves with a constant positive acceleration B. The object moves with a constant positive velocity C. The slope of this graph is equal to the object s acceleration D. The slope of this graph is equal to the object s velocity 21. Position as a function of time of two moving objects is presented by the graph. Which of the following statements is true? A. Object I has a greater velocity than object II B. Object II has a greater velocity that object I C. At time t 0 they have the same velocity D. At time t 0 object II passes by object I 22. A projectile is fired from the ground level with an initial velocity v 0. Which of the following statements is true? A. Vertical component of the velocity at point C is v 0 sinθ B. Horizontal component of the velocity at point C is v 0 cosθ C. The projectile travels with the same speed at point B and D D. The acceleration at point C is zero
7 23. An object accelerates from rest at a constant rate. Which of the following graphs could be used to describe the motion of the object? A. B. C. D. 24. A tennis ball is thrown straight up and caught at the same height. Which of the following can describe the motion of the ball when it reaches the apex? A. The velocity of the ball is zero. B. The acceleration of the ball is zero. C. The acceleration of the ball is 9.8 m/s 2 down D. The acceleration of the ball is 9.8 m/s 2 up.
8 Free Response Problems 1. A car whose speed is 20 m/s passes a stationary motorcycle which immediately gives chase with a constant acceleration of 2.4 m/s 2. a. How far will the motorcycle travel before catching the car? b. How fast will it be going at that time? c. How does that compare to the car s velocity? d. Draw the following graphs for the car: x(t), v(t), a(t). e. Draw the following graphs for the motorcycle: x(t), v(t), a(t). f. Write the equation of motion for the car. g. Write the equation of motion for the motorcycle. 2. A lab cart moves a long a straight horizontal track. The graph describes the relationship between the velocity and time of the cart. a. Indicate every time interval for which speed (magnitude of the velocity) of the cart is decreasing. b. Indicate every time at which the cart is at rest. c. Determine the horizontal position x of the cart at t = 4 s if the cart is located at x 0 = when t 0 = 0. d. Determine the traveled distance of the cart over 10 s from the beginning. e. Determine the average speed of the cart for this time interval. f. Find the acceleration of the cart during time: 0 s -4 s, 4 s 8 s, 8 s 10 s, 10 s 14 s, 14 s 16 s, 16 s 20 s. g. On the axes below, sketch the acceleration graph for the motion of the cart from t = 0 s to t = 20 s.
9 Answers Multiple Choice 1. D 2. B 3. C 4. B 5. B 6. D 7. B 8. B 9. D 10. B 11. B 12. C 13. D 14. B 15. B 16. D 17. B 18. D 19. C 20. B & D 21. B & D 22. B & C 23. B & D 24. A & C g. x = 1 (2.4 m 2 s2) t 2. a. 8 to 10 s b. 10 to 14 s c. 8 m d. 28 m e. 2.8 m/s f. 1 m/s 2, 0, -2 m/s 2, 0, -1 m/s 2, 0 g. Free Response 1. a. 333 m b. 40 m/s c. twice the speed d. e. f. x = (20 m s ) t
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