A train moves from rest with a uniform acceleration $a$ . Attaining a maximum speed $v$ it starts moving with uniform retardation $a$ . Assuming $s$ = total distance covered in the unidirectional motion of the train, its total time of journey and maximum speed are (respectively).
$\sqrt {\frac{s}{a}},\sqrt {as}$
$2 \sqrt {\frac{s}{a}},\sqrt {as}$
$\sqrt {\frac{2s}{a}},\sqrt {as}$
$\frac{1}{2} \sqrt {\frac{s}{a}},\sqrt {\frac{as}{2}}$
The initial velocity of a body moving along a straight line is $7 \,m/s$. It has a uniform acceleration of $4\,m/{s^2}$. The distance covered by the body in the $5^{th}$ second of its motion is..........$m$
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 $
The velocity acquired by a body moving with uniform acceleration is $30\,ms ^{-1}$ in $2$ seconds and $60\,ms ^{-1}$ in four seconds. The initial velocity is $.............\frac{m}{s}$
When the velocity of body is variable, then