$A$ ball is projected vertically upwards. Air resistance  variation in $g$ may be neglected. The ball rises to its maximum height $H$ in a time $T$, the height being $h$ after a time $t$

$[1]$ The graph of kinetic energy $E_k$ of the ball against height $h$ is shown in figure $1$

$[2]$ The graph of height $h$ against time $t$ is shown in figure $2$

$[3]$ The graph of gravitational energy $E_g$ of the ball against height $h$ is shown in figure $3$

Which of $A, B, C, D, E$ shows the correct answers?

A body of mass $(4m)$ is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $(m)$ move perpendicular to each other with equal speeds $(v).$ The total kinetic energy generated due to explosion is................. $mv^2$

If the kinetic energy of body increases them ?

A vehicle of mass $m$ is moving on a rough horizontal road with momentum $P$. If the coefficient of friction between the tyres and the road be $\mu$, then the stopping distance is

Two bodies of masses m and $2m$ have same momentum. Their respective kinetic energies ${E_1}$ and ${E_2}$ are in the ratio

If kinetic energy of a body is increased by $300\%$ than percentage change in momentum will be