Blocks are given velocities as shown at `t=0`, find velocity and position of 10 kg block at `t=1` and `t=4`.

In the figure two blocks are given velocities as shown. The lower block is very long. Find velocities of both the blocks when relative motion between them is ceased

A block of mass 2kg is connected to a vertical spring constant 800N//m as shown. At t=0 , the spring is relaxed. Now the block is released. List-I givens time t and List-II gives the comments on the velocity and the position of block at that time.

Find out the acceleration of 2kg block in the figures shown at the instant 1kg block falls from 2kg block ( at t = 0 )

For a particle moving in a straight line, the position-time graph is as shown in the figure. Find the velocity of the particle at time t=1 s and t=4 s . Also sketch the v-t graph.

A block is kept on a rough horizontal surface. A variable horizontal force is acting on the block as shown in the figure. At t=0 , block is at rest. Kinectic energy of block at t=5 sec will be (g=10m//s^(2))

A 15kg block is initially moving along a smooth horizontal surface with a speed of v=4m//s to the left. It is acted by a force F , which varies in the manner shown. Determine the velocity of the block at t=15 seconds.

Blockes A and B are resting on a smooth horizontal surface given equal speeds of 2ms^(-1) in opposite sense as shown in the figure. At t=0, the position of blocks are shown, then the coordinates of center of mass t=3s will be

block is moving on a rough surface. At time t=0, speed of the block is 20 m/s. Coefficient of friction ( mu ) between block and surface varies with time (t) as shown in figure. The magnitude of velocity of particle after t = 2 second is ( g = 10 ms^-2 )

A block of mass 5 kg is kept on a rough horizontal surface. The coefficient of friction for the contact force block and surface are mu_(s) = 0*1 and mu_(k) = 0*9 respectively . A horizontal force F given by F 0*5t is applied at t = 0 . Here t represent time in seconds . Determine the force of friction and acceleration of the block at (i) t = 1s (ii) t= 10 s (iii) t = 12 s

The 10 kg block is resting on the horizontal surface when the force 'F is applied to it for 7 second. The variation of 'F with time is shown. Calculate the maximum velocity reached by the block and the total time 't' during which the block is in motion. The coefficient of static and kinetic friction are both, 0.50.