ADDITIONAL QUESTIONS on 1-D KINEMATIC S

ADDITIONAL QUESTIONS on 1-D KINEMATICS

1. Marcella gives her baby sister a ride in a cart. She pushes the cart steadily along the length of a horizontal driveway. Starting from rest, at the end of 4 m the cart ends up with a speed of 2 ms-1 . Later Marcella’s younger brother pushes the cart but with only half as much force. Over what distance would he need to push his baby sister, to give her a speed of 2 ms-1 ? (Assume the cart wheels spin frictionlessly.)

A. 4 m B. 8 m C. 16 m D. Further than 16 m

2. Two identical stones are dropped simultaneously from different heights. Air resistance is negligible. As the stones fall, the distance between them will

A. increase continuously. B. decrease until they touch. C. remain the same. D. increase initially then remain the same.

3. Two stones P and Q are thrown from the top of a building, P straight up and Q straight down at a greater speed than P, as indicated. Both stones eventually hit the ground.

If air resistance is negligible, which of the following statements is true?

A. Stone P hits the ground with the greater speed. B. Stone Q hits the ground with the greater speed. C. Both stones hit with the same speed. D. It depends on the height of the building which stone hits the ground with the greater speed.

4. An athlete runs round a circular track at constant speed. Which one of the following graphs best represents the variation with time t of the magnitude d of the displacement of the athlete from the starting position during one lap of the track?

The graph below shows the variation with time of the distance moved by a car along a straight road. During which time interval does the car have its greatest acceleration?

6. The diagram below refers to the next two questions. It shows the variation with time t of the velocity v of an object. 2

The area between the line of the graph and the time-axis represents

A. the average velocity of the object. B. the displacement of the object. C. the impulse acting on the object. D. the work done on the object.

Which one of the following graphs shows the variation with time t of the acceleration a of the object?

7. Peter and Susan both stand on the edge of a vertical cliff. Susan throws a stone vertically downwards and, at the same time, Peter throws a stone vertically upwards. The speed V with which both stones are thrown is the same. Neglecting air resistance, which one of the following statements is true?

A. The stone thrown by Susan will hit the sea with a greater speed than the stone thrown by Peter.

B. Both stones will hit the sea with the same speed no matter what the height of the cliff.

C. In order to determine which stone hits the sea first, the height of the cliff must be known.

D. In order to determine which stone hits the sea first both the height of the cliff and the mass of each stone must be known.

8. A ball is dropped from rest at time t = 0 on to a horizontal surface from which it rebounds. The graph shows the variation of time t with speed v of the ball.

Which one of the following best represents the point at which the ball just loses contact with the surface after the first bounce?

A. A B. B C. C D. D

9. The graph below shows the variation with time t of the acceleration a of a spaceship.

The shaded area represents

A. the distance travelled by the spaceship between t = 0 and t = T. B. the speed of the spaceship at t = T. C. the rate at which the speed of the spaceship changes between t = 0 and t = T. D. the rate at which the acceleration changes between t = 0 and t = T.

10. The variation with time t of the speed v of a car moving along a straight road is shown below. 3

Which area, S1, S2 or S3, or combination of areas, represents the total distance moved by the car during the time that its speed is reducing?

C. S1 + S3

D. S1 + S2 + S3

11. A car accelerates uniformly from rest. It then continues at constant speed before the brakes are applied, bringing the car to rest. Which of the following graphs best shows the variation with time t of the acceleration a of the car?

12. The graph shows the variation with time t of the displacement d of a body moving along a straight-line.

Which graph best represents the variation with time t of the velocity v of this body?

13. The graph below shows the variation with time t of the displacement s of a car. In which time interval is the speed greatest? 4

14. The graph below shows how a quantity y varies with time t for a falling object.

Which one of the following quantities could be represented by y?

A. Speed when air resistance is negligible B. Speed when air resistance is not negligible C. Distance moved from rest when air resistance is negligible D. Distance moved from rest when air resistance is not negligible

15. The graph shows the variation with time t of the acceleration a of an object. The object is at rest at time t = 0.

Which of the following is the velocity of the object at time t = 6.0 s? A. 0.50 m s–1. B. 2.0 m s–1. C. 36 m s–1. D. 72 m s–1.

16. An object is dropped from rest from a point several hundred metres above the surface of the Earth at time t = 0. The object strikes the ground at t = T and air resistance is not negligible. Which of the following sketch graphs best shows the variation with time t, of the speed v of the object?

17. A watch is dropped from a high tower. Which one of the following graphs best represents the velocity from the time it is launched to the time it hits the ground? Assume negligible air resistance. 5 6

ADDITIONAL QUESTIONS on 1-D KINEMATICS Answer Section

SHORT ANSWER

1. B 2. C 3. B 4. C 5. B 6. B, D 7. B 8. C 9. B 10. C 11. A 12. B 13. A 14. B 15. C 16. C 17. C 18. C