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Kinematics Review Packet

1. A ball is released at rest, from a height of 5 m. About 6. The of a particle moving along the x-axis is how long will it take for the ball to reach the ground? given by the equation v(t) = 5 + 3t2 , where v is in m/s and t is in seconds. What is the average velocity A) 0.5 s B) 0.66 s during the interval t = 0 to t = 3? C) 1 s D) 1.33 s E) 1.66 s A) 12 m/s B) 14 m/s C) 28 m/s D) 31 m/s 2. A car is traveling with a velocity of 5 m/s along a straight road. Another car starting at rest 250 m E) 42 m/s behind it begins to accelerate uniformly. What is the 7. The of a car traveling on a straight track magnitude of its acceleration if it catches the first car along the x-axis is given by the equation a(t) = 2t + 1, after 10 seconds? where a is in meters per second squared and t is in seconds. If x(0) = 0 and v(0) = 0, what is the car's A) 0.5 m/s2 B) 1 m/s2 at t = 3? C) 2 m/s2 D) 2.5 m/s2 E) 6 m/s2 A) 1 m B) 7 m C) 9 m D) 12 m 3. A bullet is shot from a rifle. If the barrel is one meter long, and the muzzle velocity is 100 m/s, which of the E) 13.5 m following quantities can we derive? 8. The of a vehicle moving on a straight track along the x-axis is given by the equation A) The the bullet travels before landing x(t) = t2 + 3t + 5, where x is in meters and t is in B) The average acceleration of the bullet seconds. What is its acceleration at t = 5 s? C) The of the bullet 2 D) The of the bullet A) Zero B) 2 m/s 2 2 E) The exerted on the bullet C) 5 m/s D) 10 m/s E) 13 m/s2 4. An object has a non-zero acceleration. Of the following, which could be constant? 9. The velocity of a car traveling along the y-axis is I. given by the equation v(t) = 2t2 – 8t + 9, where v is in II. meters per second and t is in seconds. At what time is III. linear the car’s instantaneous acceleration equal to zero? A) I only B) I and II only A) Zero B) 1 s C) 2 s D) 3 s E) 4 s C) I and III only D) II only 10. A truck moving along a straight road at 30 m/s E) II and III only applies its breaks such that its velocity is given by 5. An archer shoots an arrow straight up from the the equation v(t) = 30 – 2t, where v is in m/s and t is surface of the Earth. When the arrow reaches its in seconds. What is the truck's acceleration at t = 1 maximum height , which of the following would be s? zero? A) –30 m/s2 B) –2 m/s2 I. speed C) 2 m/s2 D) 15 m/s2 II. velocity E) 30 m/s2 III. acceleration A) III only B) I and II only C) I and III only D) II and III only E) I, II, and III Kinematics Review Packet

11. Which pair of graphs represents the same 13. Base your answer to the following question on the 1-dimensional ? position versus time graph below which shows the motion of a particle on a straight line. A) B)

C) D)

At which of the labeled points is the magnitude of 12. The graph above represents the motion of an object the velocity greatest? traveling in a straight line as a function of time. What is the average speed of the object during the A) A B) B C) C D) D E) E first four seconds? 14. Base your answer to the following question on the A) 0 m/s B) 0.2 m/s graphs below, which plot the velocity of a particle with respect to time. C) 0.5 m/s D) 1 m/s E) 2 m/s

In which of these cases is the rate of change of the particle's displacement constant? A) I only B) II only C) III only D) I and II only E) None of these 15. 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 second? A) 5 m B) 10 m C) 15 m D) 20 m E) 25 m Kinematics Review Packet

16. An object moving horizontally with speed v falls off the edge of a vertical cliff and lands a distance d from the base of the cliff. How far from the base of the cliff would the object land if the height of the cliff was doubled? A) d B) d C) 2d D) 2 d E) 4d 17. Base your answer to the following question on the following information.

A cannonball is fired and follows the parabolic path shown below. Air resistance is negligible. Point B is the highest point on the path and points A and C are at the same height.

Which of the following best describes the direction of the net force on the ball at point A? A) up and to the right B) to the right C) down and to the right D) down E) There is no net force on the cannonball at point A 18. A cannon fires a projectile with an initial speed v at 19. Base your answer to the following question on the an angle q above the horizon. At what time does the following information. projectile hit the ground? From a cliff of height 28.8 m above the ground, a A) 2vcos q ball is thrown horizontally with an initial velocity of g 7 m/s. B) vcos q The magnitude of the velocity of the ball when it g strikes the ground is most nearly C) 2vsin q g A) 15 m/s. B) 20 m/s. D) vsin q C) 25 m/s. D) 30 m/s. g E) 35 m/s. E) vsin2 q g Kinematics Review Packet

20. Base your answer to the following question on the Base your answers to questions 23 and 24 on the following information. following information.

A ball is thrown horizontally 20 m above the ground An object is thrown with a horizontal velocity of with a velocity of 5 m/s. 15 m/s off of a cliff that is 180 m above level ground. How much time will pass before the ball hits the 23. If air resistance is negligible, the distance between ground? the base of the cliff and the place where the object reaches the ground is most nearly A) 2 s B) 2.8 s C) 4.6 s D) 6 s E) 9.2 s 21. Base your answer to the following question on the A) 50 m B) 60 m information below. C) 150 m D) 180 m E) 90 m A projectile is launched from ground level with an 24. If air resistance is negligible, the time it takes the initial velocity of v at an angle q above the object to reach the ground is most nearly horizontal. Ignore air resistance. A) 4 s B) 5 s C) 6 s D) 7 s E) 8 s The maximum horizontal displacement of the projectile is 25. Base your answer to the following question on the A) vsin 2q following diagram, in which a ball of mass m is g rolled horizontally off a table of height h and lands a B) (vsin q)2 g distance D from the edge of the table. C) vsin 2q 2g D) (vsin q)2 2g E) v2sin 2q g 22. The diagram below shows a projectile moving with speed v at the top of its trajectory.

What is the initial horizontal velocity of the ball? A) B)

C) 2Dh/g D) Dhg E) 26. A car, starting from rest, experiences a constant Which vector best represents the acceleration of the acceleration for 5 seconds such that it moves 200 m projectile in the position shown? west and 150 m north. What was the magnitude of A) B) this acceleration? A) 5 m/s2 B) 10 m/s2 C) D) C) 20 m/s2 D) 40 m/s2 E) 100 m/s2 Kinematics Review Packet

27. A mail courier is being chased by a dog. In an effort 29. A ship can travel at a maximum speed of 8 km/h in to tire the dog out before getting to the next house 10 any direction in still water. What is the maximum meters away, he runs in the path of an isosceles velocity of the ship relative to the shore if it is triangle making one 60 degree vertex how far will he moving perpendicular to a 6 km/h current? run? A) 4 km/h B) 6 km/h A) 10 meters B) 20 meters C) 8 km/h D) 9 km/h C) 30 meters D) 40 meters E) 10 km/h E) 60 meters 30. A ship travels 5 miles due east and then 12 miles due 28. A boat traveling at 20m/s travels east for 20 seconds, north. What is the net displacement of the ship? west for 5 seconds, north for 22 seconds and south A) 7 miles B) 13 miles for 2 seconds. What is the boats total displacement? C) 16 miles D) 17 miles A) 200 m B) 300 m E) 19 miles C) 400 m D) 500 m E) 800 m Answer Key Kinematics Review

1. C 2. E 3. B 4. B 5. B 6. B 7. E 8. B 9. C 10. B 11. C 12. C 13. D 14. B 15. C 16. B 17. D 18. C 19. C 20. A 21. E 22. D 23. E 24. C 25. A 26. C 27. B 28. D 29. E 30. B