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

Two balls are thrown horizontally from the top of a tower with velocities $v_1$ and $v_2$ in opposite directions at the same time. After how much time the angle between velocities of balls becomes $90^o$ ?

The position vector of a particle is given as $\vec r\, = \,({t^2}\, - \,8t\, + \,12)\,\hat i\,\, + \,\,{t^2}\hat j$ The time after which velocity vector and acceleration vector becomes perpendicular to each other is equal to........$sec$

If position vector of a particle is $\left[ {(3t)\widehat i\, + \,(4{t^2})\widehat j} \right]$ , then obtain its velocity vector for $2\,s$.

Velocity of a particle moving in a curvilinear path in a horizontal $X$ $Y$ plane varies with time as $\vec v = (2t\hat i + t^2 \hat j) \ \  m/s.$ Here, $t$ is in second. At $t = 1\  s$