A particle is moving with speed $v= b\sqrt x$ along positive $x-$ axis. Calculate the speed of the particle at time $t = \tau$ (assume that the particle is at origin at $t = 0$ ).
A particle moves along a straight line. Its position at any instant is given by $x=32 t-\frac{8 t^3}{3}$, where $x$ is in metre and $t$ is in second. Find the acceleration of the particle at the instant when particle is at rest $..........\,m / s ^2$
The position $(x)$ of a particle moving along $x$-axis varies with time $(t)$ as shown in figure. The average acceleration of particle in time interval $t=0$ to $t=8 s$ is ........... $m / s ^2$