Kinematics Test...

A dust packet is dropped from 5th storey of a multi-storeyed building. In the first second of its free fall another dust packet is dropped from 7th storey 15 m below the 9 th storey. If both packets reach the ground at same time, then height of the building is

Water drops fall from a top on the floor 5 m below at regular intervals. If time, the first drop striking the floor when the fifth drop begins to fall. The height at which the third drop will be from ground (at the instant when the first drop strikes the ground) will be (take, g = 10 ms^-2)

The position x of a particle with respect to time t along X-axis is given by x = 9t² – t³, where x is in metre and t in second. What will be the position of this particle when it achieves maximum speed along the +x direction?

A particle moves along a straight line OX. At a time t (in second) the distance x (in metre) of the particle from O is given by x = 40 +12t-t³. How long would the particle travel before coming to rest?

Under the action of a force F = Cx, the position of a body changes from 0 to x. The work done is

A particle moves along with X-axis. The position x of particle with respect to time t from origin is given by x = b0 + b₁t + b₁t².The acceleration of particle is

A boy standing at top of a tower of 20 m height drops a stone. Assuming g = 10ms^-2, the velocity with which it hits the ground is

A ball rolls off the top of stair way with a horizontal velocity of magnitude 1.8 m/s. The steps are 0.20 m high and 0.20 m wide. Which step will the ball hit first?

A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 s another ball is thrown downwards from the same platform with speed v. The two balls meet at t= 18s. What is the value of v ?

A wheel of radius 1m 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