$A$ velocity-time graph of a body is shown below. The distance covered by the body from $t = 6 \ s$ to $t = 9 \ s$ is: (in $m$)

$A$ 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)

What is the acceleration of the particle on $OA$,$AB$,and $BC$ respectively?

The figure shows the displacement of a particle moving along the $X-$axis as a function of time. The force acting on the particle is zero in the region:

During which time interval is the particle described by these position graphs at rest?

The velocity $v$ of a body moving along a straight line varies with time $t$ as $v = 2 t^2 e^{-t}$,where $v$ is in $m/s$ and $t$ is in $s$. The acceleration of the body is zero at $t =$