At a given instant,block $A$ is moving with a velocity of $5\,m/s$ upwards. What is the velocity of block $B$ at that time?

Find the velocity of block $B$ at the instant shown in the figure (in $m/s$).

Two equal masses $A$ and $B$ are arranged as shown in the figure. The pulley and string are ideal and there is no friction. Block $A$ has a speed $u$ in the downward direction. The speed of the block $B$ is:

$A$ rod is constrained to move along a vertical wall and a horizontal floor. If the velocity of end $A$ is $V_A$ along the horizontal floor,find the velocity $V_B$ of end $B$ along the vertical wall in terms of $V_A$ and $\theta$.

In the arrangement shown in the figure,the block of mass $m=2\,kg$ lies on the wedge of mass $M=8\,kg$. Find the initial acceleration of the wedge if the surfaces are smooth and the pulley and strings are massless.

An iron rod of length $1.5 \,m$ lying on a horizontal table is pulled up from one end along a vertical line so as to move it with a constant velocity $3 \,m/s$, while the other end of the rod slides along the floor. After how much time will the speed of the end sliding on the floor equal the speed of the end being pulled up?