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# Unit 2 Review Nonlinear Motion

Unit 2 Review Nonlinear Motion . The mass of a paper clip is approximately (A) 1 × 10 6 kg (B) 1 × 10 3 kg (C) 1 × 10 –3 kg (D) 1 × 10 –6 kg. An airplane flies with a velocity of 750 km/hour, 30.0° south of east. What is

## Unit 2 Review Nonlinear Motion

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1. Unit 2 Review Nonlinear Motion

2. The mass of a paper clip is approximately (A) 1 × 106 kg (B) 1 × 103 kg (C) 1 × 10–3 kg (D) 1 × 10–6 kg

3. An airplane flies with a velocity of 750 km/hour, 30.0° south of east. What is the magnitude of the eastward component of the plane’s velocity? (A) 866 km/h (B) 433 km/h (C) 650 km/h (D) 375 km/h

4. A motorboat, which has a speed of 5.0 m/s in still water, is headed east as it crosses a river flowing south at 3.3 m/s. What is the magnitude of the boat’s resultant velocity with respect to the starting point? (A) 3.3 m/s (B) 5.0 m/s (C) 8.3 m/s (D) 6.0 m/s

5. A projectile launched at an angle of 45° above the horizontal travels through the air. Compared to the projectile’s theoretical path with no air friction, the actual trajectory of the projectile with air friction is (A) lower and shorter (B) lower and longer (C) higher and shorter (D) higher and longer

6. Two stones, A and B, are thrown horizontally from the top of a cliff. Stone A has an initial speed of 15 meters per second and stone B has an initial speed of 30 meters per second. Compared to the time it takes stone A to reach the ground, the time it takes stone B to reach the ground is (A) the same (B) twice as great (C) half as great (D) four times as great

7. A ball dropped from rest falls freely until it hits the ground with a speed of 45 m/s. The time during which the ball is in free fall is approximately (A) 1 s (B) 2 s (C) 3 s (D) 5 s

8. A student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. How much time is required for the stone to reach the level ground below? (A) 3.19 s (B) 5.10 s (C) 10.2 s (D) 12.5 s

9. A student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. How far from the edge of the building does the stone to hit the level ground below? (A) 12.8 m (B) 0.80 m (C) 40.8 m (D) 50.0 m

10. A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the cliff is 125 m high, how much time elapses until the ball hits the ground? (A) 2.0 s (B) 5.0 s (C) 6.2 s (D) 12.5 s

11. A target is placed 117 m from the base of a cliff. If the cliff is 125 m high, how fast does the ball have to be thrown to hit the target? (A) 5.2 m/s (B) 23.4 m/s (C) 120 m/s (D) 585 m/s

12. A golf ball is hit with an initial velocity of 50 m/s at an angle of 35 degrees above the horizontal. What is the horizontal component of the golf ball’s initial velocity?

13. A golf ball is hit with an initial velocity of 50 m/s at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity? Vh = 40.9 m/s

14. A golf ball is hit with an initial velocity of 50 m/s at an angle of 35 degrees above the horizontal. How much time does the ball take to reach the maximum height? Vh = 40.9 m/s Vv = 28.7 m/s

15. A golf ball is hit with an initial velocity of 50 m/s at an angle of 35 degrees above the horizontal. How high does it go? Vh = 40.9 m/s Vv = 28.7 m/s tv = 2.9 s

16. A golf ball is hit with an initial velocity of 50 m/s at an angle of 35 degrees above the horizontal. How long does it take to reach the ground? Vh = 40.9 m/s Vv = 28.7 m/s tv = 2.9 s

17. A golf ball is hit with an initial velocity of 50 m/s at an angle of 35 degrees above the horizontal. How far does it go before hitting the ground? Vh = 40.9 m/s Vv = 28.7 m/s tv = 2.9 s

18. A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees above the horizontal. What is the horizontal component of the golf ball’s initial velocity?

19. A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity?

20. A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees above the horizontal. How much time does the ball does it take to reach the maximum height?

21. A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees above the horizontal. How high does it go?

22. A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees above the horizontal. How long does it take to reach the ground?

23. A golf ball is hit with an initial velocity of 50 m/s at an angle of 45 degrees above the horizontal. How far does it go before hitting the ground?

24. A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the cliff is 125 m high, how much far from the edge of the cliff does the ball hit? (A) 24 m (B) 72 m (C) 120 m (D) 585 m

25. A ball thrown vertically upward reaches a maximum height of 30 meters above the surface of Earth. At its maximum height, the speed of the ball is (A) 0.0 m/s (C) 9.8 m/s (B) 3.1 m/s (D) 24 m/s

26. An object was projected horizontally from a tall cliff. The diagram shows the path of the object, neglecting friction. How does the magnitude of the horizontal component of the object’s velocity at point A compare with the magnitude of the horizontal component of the object’s velocity at point B? (A) A=B (B) A>B (C) A<B (D) NEI

27. An object was projected horizontally from a tall cliff. The diagram shows the path of the object, neglecting friction. How does the magnitude of the vertical component of the object’s velocity at point A compare with the magnitude of the vertical component of the object’s velocity at point B? (A) A=B (B) A>B (C) A<B (D) NEI

28. A golf ball is given an initial speed of 20 m/s and returns to level ground. Which launch angle above level ground results in the ball traveling the greatest horizontal distance? [Neglect friction.] (A) 60° (B) 45° (C) 30° (D) 15°

29. A golf ball is hit with an initial velocity of 15 m/s at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity? (A) 8.6 m/s (C) 12 m/s (B) 9.8 m/s (D) 15 m/s

30. A golf ball is hit with an initial velocity of 15 meters per second at an angle of 35 degrees above the horizontal. What is the horizontal component of the golf ball’s initial velocity? (A) 8.6 m/s (B) 9.8 m/s (C) 12 m/s (D) 15 m/s

31. A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second. The horizontal component of the ball’s initial velocity is approximately (A) 3.6 m/s (B) 4.9 m/s (C) 7.0 m/s (D) 13 m/s

32. A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second. The maximum height reached by the ball is approximately (A) 1.2 m (B) 2.5 m (C) 4.9 m (D) 8.5 m

33. A soccer player kicks a ball with an initial velocity of 10 m/s at an angle of 30° above the horizontal. The horizontal component of the ball’s initial velocity is (A) 5.0 m/s (B) 8.7 m/s (C) 9.8 m/s (D) 10 m/s

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