A metro train starts from rest and in five seconds achieves $108\, km/h$. After that it moves with constant velocity and comes to rest after travelling $45\, m$ with uniform retardation. If total distance travelled is $395\,m$, then total time of travelling is.......$sec$
$12.2$
$15.3$
$9$
$17.2$
A rocket is moving in a gravity free space with a constant acceleration of $2 \ ms ^{-2}$ along $+x$ direction (see figure). The length of a chamber inside the rocket is $4 \ m$. A ball is thrown from the left end of the chamber in $+x$ direction with a speed of $0.3 \ ms ^{-1}$ relative to the rocket. At the same time, another ball is thrown in $-x$ direction with a speed of $0.2 \ ms ^{-1}$ from its right end relative to the rocket. The time in seconds when the two balls hit each other is:
A bullet fired into a fixed target loses half of its velocity after penetrating $3\, cm$. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion ?.......$cm$
A body moves from rest with a constant acceleration of $5\,m/{s^2}$. Its instantaneous speed (in $m/s)$ at the end of $10\, sec$ is