Motion in a straight line

Welcome to your Motion in a straight line

1. 
Consider a body moving with an acceleration of 2 m/s². After t seconds its velocity is 10 m/s. Find ‘t’.

2. 
Two trains of 40 m length are travelling in opposite directions with a velocity of 10 m/s and 15 m/s. What is the time of crossing?

3. 
The ratio of the average velocity and average speed of a body is

4. 
What will be the velocity v/s time graph of a ball falling from a height before hitting the ground look like?

5. 
Average speed of a car between points A and B is 20 m/s, between B and C is 15 m/s, between C and D is 10 m/s. What is the average speed between A and D, if the time taken in the mentioned sections is 20s, 10s and 5s respectively?

6. 
A car is moving around a tree in a circular path. What can be said about the average velocity?

7. 
A ball falls from a building and covers 5m in 10s. What is the acceleration?

8. 
The gradient of velocity v/s time graph is equal to ________

9. 
In the first 10s of a body’s motion, the velocity changes from 10 m/s to 20m/s. During the next 30s the velocity changes from 20m/s to 50m/s. What is the average acceleration in m/s2?

10. 
If two bodies are moving in opposite directions with non-zero velocities, which of the following statements is true?

11. 
A body A is moving in North direction, while another body B is moving towards South. Velocity of A is greater than that of B. If North is taken as positive, which of the following relative velocities is positive?

12. 
A boy starts at location A, walks 1.5 kilometres to point B, and then returns to point A. If it takes one hour for this, his average velocity is

13. 
A body begins at rest and accelerates uniformly to cover a distance of 6 metres. If its velocity after the displacement is 6 m/s, then its uniform acceleration a is

14. 
A particle is moving with a constant acceleration. Which of the following is NOT true?

15. 
Which of the following statements is true for an object in uniform circular motion?

16. 
Two bodies of different masses ma and mb are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are

17. 
A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is

18. 
A stone is dropped from a certain height which can reach the ground in 5 second. If the stone is stopped after 3 second of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is

19. 
A man in a balloon rising vertically with an acceleration of 4.9m/sec2 releases a ball 2 sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is (g=9.8m/sec2)

20. 
A balloon is at a height of 81 m and is ascending upwards with a velocity of 12 m/s. A body of 2kg weight is dropped from it. If g=10m/s2, the body will reach the surface of the earth in

21. 
An aeroplane is moving with horizontal velocity u at height h. The velocity of a packet dropped from it on the earth's surface will be (g is acceleration due to gravity)

22. 
A bullet is fired with a speed of 1000m/sec in order to hit a target 100 m away. If g=10m/s2, the gun should be aimed

23. 
A body starts to fall freely under gravity. The distances covered by it in first, second and third second are in ratio

24. 
A ball of mass m1 and another ball of mass m2 are dropped from equal height. If time taken by the balls are t1 and t2 respectively, then

25. 
A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top

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