DPP – 9S72

MOTION

1. Starting from a stationary position, Rahul paddles his bicycle to attain a velocity of 6 m s^–1 in 30 s. Then he applies brakes such that the velocity of the bicycle comes down to 4 m s^-1 in the next 5 s. Calculate the acceleration of the bicycle in both the cases.

2. A train starting from rest attains a velocity of 72 km h^–1 in 5 minutes. Assuming that the acceleration is uniform, find (i) the acceleration and (ii) the distance travelled by the train for attaining this velocity.

3. A car accelerates uniformly from 18 km h^–1 to 36 km h^–1 in 5 s. Calculate (i) the acceleration and (ii) the distance covered by the car in that time.

4. The brakes applied to a car produce an acceleration of 6 m s^-2 in the opposite direction to the motion. If the car takes 2 s to stop after the application of brakes, calculate the distance it travels during this time

5. A bus starting from rest moves with a uniform acceleration of 0.1 m s^-2 for 2 minutes. Find (a) the speed acquired, (b) the distance travelled.

6. A train is travelling at a speed of 90 km h^–1 . Brakes are applied so as to produce a uniform acceleration of – 0.5 m s^-2. Find how far the train will go before it is brought to rest.

7. A trolley, while going down an inclined plane, has an acceleration of 2 cm s^-2. What will be its velocity 3 s after the start?

8. An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth.

9. A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 m s^-2, with what velocity will it strike the ground? After what time will it strike the ground?

10. An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 minutes 20 s?