If $x \propto {t^{5/2}}$ , then
$v \propto {t^{3/2}}$
$a \propto \sqrt t $
both$ (A)$ and $(B)$
$v \propto \sqrt t $
Draw the $x\to t$ graphs for positive, negative and zero acceleration.
The relation between time $t$ and distance $x$ for a moving body is given as $t=m x^{2}+n x$, where ${m}$ and ${n}$ are constants. The retardation of the motion is -
(Where $v$ stands for velocity)
The velocity of a body depends on time according to the equation $v=\frac{t^2}{10}+20$. The body is undergoing
Starting from rest, acceleration of a particle is $a = 2(t - 1).$ The velocity of the particle at $t = 5\,s$ is.........$m/sec$