Three particles $A, B$ & $C$ of equal mass move with speed $V$ as shown to strike at  centroid of equilateral triangle after collision. $A$ comes to rest & $B$ retraces its path  with speed $V$. speed of $C$ after collision is :-

A ball impinges directly on a similar ball at rest. If $1/4^{th}$ of the kinetic energy is lost by the impact, the value of coefficient of restitution is

$A$ ball strikes a smooth horizontal ground at an angle of $45^o$ with the vertical. What cannot be the possible angle of its velocity with the vertical after the collision ................. $^o$ (Assume $e \leq 1$ ).

A point mass $M$ moving with a certain velocity collides with a stationary point mass $M / 2$. The collision is elastic and in one-dimension. Let the ratio of the final velocities of $M$ and $M / 2$ be $x$. The value of $x$ is

In an elastic collision between disks $A$ and $B$ of equal mass but unequal radii, $A$ moves along the $x$ -axis and $B$ is stationary before impact. Which of the following is possible after impact?

A body of mass $5\, kg$ moving with a velocity $10\,m/s$ collides with another body of the mass $20 \,kg$ at, rest and comes to rest. The velocity of the second body due to collision is ......... $m/s$