A parachutist after bailing out falls $50 \text{m}$ without friction. When the parachute opens, it decelerates at $2 \mathrm{m} {\mathrm{s}}^{-2}$.He reaches the ground with a speed of $3 \mathrm{m} {\mathrm{s}}^{-1}$. At what height did he bail out?

The variation of velocity of a particle moving along straight line is shown in figure. The distance traversed by the body in $4$ seconds is

The adjoining curve represents the velocity–time graph of a particle, its acceleration values along $OA,$ $AB$ and $BC$ in $\mathrm{m} {\mathrm{s}}^{-2}$ are, respectively.

The velocity–time graph of a linear motion is shown below. The displacement from the origin after $8 \mathrm{second}$ is,