The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance (in $m$) covered by the object between $t = 0$ and $t = 4 \; s$?

In the following displacement $x$ versus time $t$ graph,at which among the points $P, Q$ and $R$ is the object's speed increasing?

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:

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 $s$)

For the following velocity-time graph, the average speed for the motion during first $80 \, s$ is

The $x-t$ equation is given as $x = 2t + 1$. The corresponding $v-t$ graph is: