Base Your Answers to Questions 1 and 2 on the Graphs Below, Which Plot the Displacement of a Particle with Respect to Time
Total Page:16
File Type:pdf, Size:1020Kb
Base your answers to questions 1 and 2 on the graphs below, which plot the displacement of a particle with respect to time. 5. The graph above represents the motion of an object traveling in a straight line as a function of time. What 1. In which of the following is the particle's acceleration is the average speed of the object during the first four constant? seconds? A) I only B) II only A) 0 m/s B) 0.2 m/s C) I and II only D) I, II, and III C) 0.5 m/s D) 1 m/s E) None of these E) 2 m/s 2. In which of the following is the rate of change of the particle's momentum zero? A) I only B) II only C) I and II only D) I, II, and III E) None of these 3. Base your answer to the following question on the graphs below, which plot the velocity of a particle with respect to time. In which of these cases is the rate of change of the 6. A simple particle's displacement constant? pendulum oscillates with amplitude A and period T, as represented on the graph above. The nature of the A) I only B) II only velocity v and acceleration a of the object at time is C) III only D) I and II only best represented by which of the following? E) None of these A) v < 0, a < 0 B) v < 0, a = 0 4. Which pair of graphs represents the same C) v < 0, a > 0 D) v = 0, a > 0 1-dimensional motion? E) v = 0, a = 0 A) B) 7. An object undergoes constant acceleration. Initially at rest, the object travels 5 m in the first second. What additional distance will be covered in the next C) D) second? A) 5 m B) 10 m C) 15 m D) 20 m E) 25 m Base your answers to questions 10 and 11 on "the graph below which shows the velocity versus time for an object moving in a straight line. 8. The displacement x of an object moving in one dimension is shown above as a function of time t. The velocity of this object must be A) zero " B) constant and positive 10. During which interval does the particle have the C) constant and negative same average acceleration as 12 s < t < 14 s? D) increasing A) 0 s < t < 3 s B) 2 s < t < 5 s E) decreasing C) 3 s < t < 7 s D) 7 s < t < 10 s E) 9 s < t < 11 s 11. At what time after t = 0 does the object again pass through its initial position? A) 3 s B) 5 s C) 8.5 s D) 11 s E) 14 s 9. The displacement x of an object moving in one dimension is shown above as a function of time t. The acceleration of this object must be A) zero B) constant and positive C) constant and negative D) increasing E) decreasing Base your answers to questions 12 through 14 on 17. On another planet a ball is dropped and falls 10 "the position versus time graph below which shows meters in 4 seconds. Assuming uniform acceleration, the motion of a particle on a straight line. what is the acceleration neglecting air resistance? A) 0.625 m/s2 B) 1.25 m/s2 C) 2.5 m/s2 D) 5 m/s2 E) 10 m/s2 18. A car is driving 30 m/s and instantly stops. At this instant the driver releases a ball he was holding out the window. If the ball lands 2 seconds after released how far does the ball travel? Neglect air resistance. A) 15 m B) 30 m C) 60 m D) 900 m E) 1,800 m 19. A ball is dropped 4 meters above the surface of earth and the same ball is dropped on another planet with half the acceleration of gravity, what is the difference in the time it takes the balls to hit the " surface in seconds? 12. At which of the labeled points is the magnitude of A) B) the acceleration greatest? C) D) A) A B) B C) C D) D E) E E) 13. At which of the labeled points is the velocity zero? 20. Which of the Following is not a vector quantity? A) B only B) E only C) D only D) C and D A) Displacement B) Acceleration E) C and E C) Momentum D) Force E) Speed 14. At which of the labeled points is the magnitude of the velocity greatest? 21. A bullet is shot from a rifle. If the barrel is one meter long, and the muzzle velocity is 100 m/s, A) A B) B C) C D) D E) E which of the following quantities can we derive? 15. Which of the following reflects a change in A) The distance the bullet travels before landing acceleration? B) The average acceleration of the bullet C) The mass of the bullet A) A car traveling 20 m/s D) The energy of the bullet B) A car starting from rest rolling down an even E) The force exerted on the bullet ramp C) A motor scooter braking evenly from 10 m/s D) A skydiver in a vacuum E) A cyclist rolling down a parabolic hill 16. Two balls are dropped in a vacuum. If one is caught in half the time as the other what is the difference in distance the balls traveled? A) t B) t 2 C) t 2 D) 3 t E) 3 t2 22. Which is true of the motion of two free falling 27. A hammer and a feather are brought to the surface of objects of mass m and 2m dropped from equal the moon, where air resistance is negligible, and are heights d in a vacuum? released from the same height at rest. When the hammer hits the ground, the two objects will have A) Both objects land in the same time, but the the same heavier object has a greater final speed B) Both objects land in the same time, but the A) momentum lighter object has greater final speed B) kinetic energy C) Both objects land at the same time and both C) change in potential energy objects have the same final speed D) inertia D) Both objects have the same final speed, but the E) speed lighter object lands first 28. Which of the following is a vector quantity? E) Both objects have the same final speed, but the heavier object lands first A) speed B) potential energy 23. A motorist traveling 25m/s blows a red light. 5 C) time D) displacement seconds later a police officer parked at the corner, E) none of these begins pursuit on his motorcycle at 35 m/s. How 29. Which of the following is a scalar quantity? long does the chase last? A) linear momentum B) velocity A) 10 s B) 13 s C) 16 s D) 17 s E) 25 s C) acceleration D) kinetic energy 24. In 5 seconds a car accelerates from 0 to 40 m/s. 20 E) force seconds after reaching 40m/s the car comes to a 30. An object is dropped off a cliff of height h. When complete stop. If this deceleration takes 4 seconds, the object has fallen for 4 s, it has fallen a distance how far has the car traveled since its trip began? . How long will it take to fall A) 100 meters B) 800 meters the rest of the way? (Neglect air resistance) C) 980 meters D) 1,140 meters E) 1,700 meters A) 2.0 s B) 2.50 s C) 3.0 s D) 1.66 s 25. Object A and B are near the surface of the moon. When object A is released from rest, it falls a E) 4.50 s distance d in 2.0 seconds. Object B is twice the mass 31. An object is dropped of a cliff with a height of 8 m. of object A. How far would object B fall in 1.0 When the rock has been falling for 4 m, its velocity second if released from rest? is most nearly A) d B) d C) d D) d E) 2d A) 9 m/s B) 12 m/s 26. A softball is thrown straight up, reaching a C) 18 m/s D) 80 m/s maximum height of 20 meters. Neglecting air E) 320 m/s resistance, the vertical speed of the ball when it hits 32. An object is at rest. Which of the following must be the ground is true? A) 10 m/s B) 15 m/s I. Its linear momentum is zero. C) 20 m/s D) 30 m/s II. Its acceleration is zero. E) 40 m/s III. Its potential energy is not zero. A) I only B) I and II only C) I and III only D) I, II, and III E) None of these 33. An object is moving with constant acceleration. 38. A ball is released at rest, from a height of 5 m. Which of the following is necessarily true? About how long will it take for the ball to reach the I. The velocity is changing. ground? II. The kinetic energy is changing. A) 0.5 s B) 0.66 s III. The linear momentum is changing. C) 1 s D) 1.33 s A) I only B) II only E) 1.66 s C) I and II only D) I, II, and III 39.