$A$ lift is moving upwards. Its velocity-time graph is given. The distance covered by the lift is ........ $m$.

$A$ bullet is shot vertically downwards with an initial velocity of $100\,m/s$ from a certain height. Within $10\,s$,the bullet reaches the ground and instantaneously comes to rest due to a perfectly inelastic collision. The velocity-time curve for the total time $t = 20\,s$ will be: (Take $g = 10\,m/s^2$)

Two cars $A$ and $B$ start from a point at the same time in a straight line and their positions are represented by $R_{A}(t) = at + bt^2$ and $R_{B}(t) = xt - t^2$. At what time do the cars have the same velocity?

The acceleration-time graph of a particle moving along a straight line is shown. At what time does the particle acquire its initial velocity? (in $s$)

What do the slope and the area under the $v-t$ graph represent?

The position-time graphs for two students $A$ and $B$ returning from the school to their homes are shown in the figure.
$(A)$ $A$ lives closer to the school.
$(B)$ $B$ lives closer to the school.
$(C)$ $A$ takes less time to reach home.
$(D)$ $A$ travels faster than $B$.
$(E)$ $B$ travels faster than $A$.
Choose the correct answer from the options given below: