⚡ Kinematics — Practice Worksheet

Q1. A ball is thrown vertically upward with velocity 20 m/s. The maximum height reached is (g = 10 m/s²):

1. 10 m
2. 20 m
3. 30 m
4. 40 m

Q2. A car accelerates uniformly from rest to 72 km/h in 10 s. The distance covered is:

1. 100 m
2. 200 m
3. 50 m
4. 150 m

Q3. A projectile is fired at 30° with horizontal at 40 m/s. The horizontal range is (g = 10 m/s²):

1. 80√3 m
2. 160 m
3. 80 m
4. 40√3 m

Q4. Two bodies are dropped from heights h and 2h. The ratio of times to reach the ground is:

1. 1 : 2
2. 1 : √2
3. √2 : 1
4. 1 : 4

Q5. A body moves with velocity v = 3t² + 2t + 1 m/s. The acceleration at t = 2 s is:

1. 14 m/s²
2. 12 m/s²
3. 10 m/s²
4. 8 m/s²

Q6. A stone is thrown horizontally from a cliff 80 m high with velocity 10 m/s. The time to reach the ground is (g = 10 m/s²):

1. 2 s
2. 4 s
3. 8 s
4. 16 s

Q7. The velocity-time graph of a body is a straight line with positive slope. The body has:

1. Uniform velocity
2. Uniform acceleration
3. Non-uniform acceleration
4. Zero acceleration

Q8. A particle moves in a circle of radius 10 m with constant speed 5 m/s. Its centripetal acceleration is:

1. 2.5 m/s²
2. 5 m/s²
3. 0.5 m/s²
4. 25 m/s²

Q9. A body starts from rest and travels with uniform acceleration. The ratio of distances in 1st, 2nd, and 3rd seconds is:

1. 1 : 2 : 3
2. 1 : 3 : 5
3. 1 : 4 : 9
4. 1 : 1 : 1

Q10. The angle of projection for maximum range of a projectile is:

1. 30°
2. 45°
3. 60°
4. 90°

Q11. A train 100 m long passes a pole in 10 s. Its speed is:

1. 10 m/s
2. 36 km/h
3. Both A and B
4. None

Q12. If the velocity of a body is doubled, its kinetic energy becomes:

1. Double
2. Half
3. Four times
4. Same

Q13. A body is projected at 60° with the horizontal. At the highest point, its velocity is:

1. Zero
2. u/2
3. u
4. u√3/2

Q14. The displacement of a particle is given by x = 4t − t². The particle comes to rest at:

1. t = 1 s
2. t = 2 s
3. t = 4 s
4. t = 8 s

Q15. Rain is falling vertically at 10 m/s. A man walks at 10 m/s. The angle at which he should hold his umbrella is:

1. 30° with vertical
2. 45° with vertical
3. 60° with vertical
4. 0° (vertical)

Q16. A car moving at 20 m/s brakes and stops in 4 s. Find the deceleration and distance covered.

Q17. A ball is dropped from 45 m. Find the time to reach the ground and velocity just before hitting (g = 10 m/s²).

Q18. A projectile is launched at 45° with speed 50 m/s. Find the maximum height and time of flight (g = 10 m/s²).

Q19. Two cars start from the same point. Car A moves at 60 km/h and car B starts 30 min later at 80 km/h. When does B overtake A?

Q20. A boat can travel at 5 m/s in still water. A river flows at 3 m/s. Find the time to cross a 100 m wide river if the boat heads perpendicular to the flow.

Q21. The position of a particle is x = 2t³ − 9t² + 12t. Find the times when velocity is zero.

Q22. A stone is thrown upward at 30 m/s from the top of a 50 m building. Find the total time to reach the ground (g = 10 m/s²).

Q23. A body travels first half of a distance at 40 km/h and second half at 60 km/h. Find the average speed.

Q24. A particle moves along a circle of radius 20 cm at constant speed, completing one revolution in 4 s. Find the centripetal acceleration.

Q25. Two projectiles are fired at 30° and 60° with the same speed. Show that they have the same range.