The figure shows a velocity-time graph of a particle moving along a straight line. The total distance travelled by the particle is ........ $m$.

From the given $v-t$ graph,find the ratio of distance to displacement in $25\,s$ of motion.

The velocity-time graph of a body is shown in the figure. It implies that at point $B$

The velocity-displacement graph of a particle moving in a straight line is as shown in the figure.

The relation between velocity $v$ and displacement $x$ is $v = x^2$. Find the acceleration at $x = 3 \ m$.

$A$ particle is moving along the $Y$-axis. The position of the particle from the origin as a function of time $(t)$ is given as $y(t) = 10 t e^{-2 t}$. How far is the particle from the origin when it stops momentarily? ($y$ is given in units of metre and $t$ is in units of second)