The two ends of a train moving with constant acceleration pass a certain point with velocities $u$ and $3 u$. The velocity with which the middle point of the train passes the same point is ........... $u$
$2$
$\frac{3}{2}$
$\sqrt{5}$
$\sqrt{10}$
A parachutist drops freely from an aeroplane for $10\,s$ before the parachute opens out. Then he descends with a net retardation of $2.5\, m/s^2$. If he bails out of the plane at a height of $2495\, m$ and $g = 10\, m/s^2$, hit velocity on reaching the ground will be .......$m/s$
A particle is projected with velocity $v_0$ along $x-$ axis and its decelaration on the particle is a $a= -\alpha x^2$. The distance at which the particle stops is
If average velocity of particle moving on a straight line is zero in a time interval, then
For a particle projected vertically upwards under gravity travels equal distance during $5^{th}$ and $6^{th}$ second of its motion. Find its projection speed........$m/s$ $(g = 9.8\,m/s^2)$
A point moves with uniform acceleration and $V_1,V_2$ and $V_3$ denote the average velocities in the threesuccessive intervals of time $t_1, t_2$ and $t_3$. Which of the following relation is correct ?