Find velocity of block ' $B$ ' at the instant shown in figure $........\,m/s$

If the block $A$ & $B$ are moving towards each other with acceleration $a$ and $b$. Find the net acceleration of $C$.

A light string passing over a smooth light fixed pulley connects two blocks of masses $m_1$ and $m_2$. If the acceleration of the system is $g / 8$, then the ratio of masses is

If block $A$ has a velocity of $0.6\,m / s$ to the right, determine the velocity of block $B$.

If all the pulleys are massless and string is ideal, find the reading of spring balance

Two blocks of same mass $(4\ kg)$ are placed according to diagram. Initial velocities of bodies are $4\ m/s$ and $2\ m/s$ and the string is taut. Find the impulse on $4\ kg$ when the string again becomes taut  .......... $N-s$