A particle initially at rest moves along the $x$-axis. Its acceleration varies with time as $a=4\,t$. If it starts from the origin, the distance covered by it in $3\,s$ is $...........\,m$
$12$
$18$
$24$
$36$
Velocity-displacement graph of a particle moving in a straight line is as shown in figure
Acceleration versus time graph of a body starting from rest is shown in the figure. The velocity versus time graph of the body is given by