The position-time $(x-t)$ graphs for two children $A$ and $B$ returning from their school $O$ to their homes $\mathrm{P}$ and $\mathrm{Q}$ respectively are shown in figure. Choose the correct entries in the brackets below;

$(a)$ $(A/B)$ lives closer to the school than $(B/A)$

$(b)$ $(A/B)$ starts from the school earlier than $(B/A)$

$(c)$ $(A/B)$ walks faster than $(B/A)$

$(d)$ $\mathrm{A}$ and $\mathrm{B}$ reach home at the (same/different) time

$(e)$ $(\mathrm{A} / \mathrm{B})$ overtakes $(\mathrm{B} / \mathrm{A})$ on the road (once/twice)

Explain instateneous velocity.

The velocity $v$ of a particle is given by the equation $v = 6t^2 -6t^3$, where $v$ is in $m/sec$ and $t$ is time in $seconds$ then

The $v- t$ plot of a moving object is shown in the figure. The average velocity of the object during the first $10$ seconds is………..$m/s$

For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds