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

The displacement $x$ of a particle in a straight line motion is given by $x=1-t-t^2$. The correct representation of the motion is $..............$.

The velocity-time graph for a particle moving along $x$-axis is shown in the figure. The corresponding displacement-time graph is correctly shown by

The velocity of a particle moving on the $x-$ axis is given by $v = x^2 + x$ where $v$ is in $m/s$ and $x$ is in $m$ . Find its acceleration in $m/s^2$ when passing through the point $x = 2m$