1.A wheel of radius 1 meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is

2. A train has a speed of 60 km/h. for the first one hour and 40 km/h for the next half hour. Its average speed in km/h is

3.  A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. The average speed of the man over the interval of time 0 to 40 min. is equal to           

4.The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is       

5. A body is moving from rest under constant acceleration and let S₁ be the displacement in the first (p-1) sec and S₂ be the displacement in the first p sec. The displacement in (p² -p +1)ᵗʰ sec. will be

6. If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of                   

7. 

8. A police jeep is chasing with, velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is  

9. A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is           

10.A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of