A particle moving with a uniform acceleration travels $24\, m$ and $64\, m$ in the first two consecutive intervals of $4\, sec$ each. Its initial velocity is......$m / \sec $
$1$
$10$
$5$
$2$
A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity $u$ and the guard's room passes with velocity $v.$ The middle wagon of the train passes the pole with a velocity.
Two bodies $A$ and $B$ start from rest from the same point with a uniform acceleration of $2\,m / s ^2$. If $B$ starts one second later, then the two bodies are separated, at the end of the next second, by $.............\,m$