1. A train moves with a uniform velocity of 36 km/h for 10 s. Find the distance travelled by it.
2. A train starts from rest. It moves through 1 km in 100 s with uniform acceleration. What will be its speed at the end of 100 s?
3. A car has a velocity of 10 m/s. It accelerates at 0.2 m/s² for half a minute. Find the distance travelled during this time and the final velocity of the car.
4. A tennis ball is hit vertically upward with a velocity of 30 m/s. It takes 3 s to reach the highest point. Calculate the maximum height reached by the ball. How long will it take to return to the ground?
5. A car moves with a uniform velocity of 40 m/s for 5 s. It comes to rest in the next 10 s with uniform deceleration. Find (i) deceleration (ii) total distance travelled by the car.
6. A train starts from rest with an acceleration of 0.5 m/s². Find its speed in km/h when it has moved through 100 m.
7. A train starting from rest, accelerates uniformly and attains a velocity of 48 km/h in 2 minutes. It travels at this speed for 5 minutes. Finally, it moves with uniform retardation and is stopped after 3 minutes. Find the total distance travelled by the train.
8. A cricket ball is hit vertically upwards and returns to ground 6 s later. Calculate (i) maximum height reached by the ball, (ii) initial velocity of the ball.
9. When brakes are applied, the speed of a train decreases from 96 km/h to 48 km/h in 800 m. How much further will the train move before coming to rest? (Assuming the retardation to be constant).
10. In the above problem, find the time taken by the train to stop after the application of brakes.
11. Convert the following:
a. 160 km/h into m/s
b. 36 m/s into km/h
c. 15 km/h² into m/s²
d. 1 m/s² into km/h²
12. In 10 seconds, a cyclist increases its speed from 5 km/h to 7 km/h, while a car moves from rest to 20 km/h in the same time. Calculate and compare acceleration in each case.
13. A ball is thrown straight up such that it took 2 seconds to reach the top after which it started falling back. What was the speed with which the ball was thrown up?
14. A car is moving with uniform velocity of 20 m/s for 20 seconds. Then brakes are applied and it comes to rest with uniform deceleration in 30 s. Plot the graph to calculate this distance using speed-time graph?
15. A girl starts her motion by a racing bicycle in a straight line at a speed of 50 km/h. Her speed is changing at a constant rate. If she stops after 60s, what is her acceleration?
16. Consider the following speed-time graph. Tell:
a. Which part of the graph is showing acceleration, deceleration, and zero acceleration?
b. Calculate covered distance from 10 seconds to 20 seconds from the graph.
Speed (m/s):
60
50
40
30
20
10
0
Time (s):
0 5 10 15 20 25 30