Question

The position $\left(x\right)$ - time $\left(t\right)$ graphs for two children $A$ and $B$ returning from their school $O$ to their homes $P$ and $Q$ respectively along straight line path (taken as x-axis) are shown in figure below. Choose the incorrect statement:

• A. $A$ lives closer to the school than $B$.
• B. $A$ starts from the school earlier than $B$.
• C. $A$ and $B$ have equal average velocities from $0$ to $t_0$.
• D. $B$ overtakes $A$ on the way.

Answer 1

The correct option is C $A$ and $B$ have equal average velocities from $0$ to $t_0$.


$A$ lives closer to school than $B$.

So, their displacement in time interval $0$ to $t_o$ are different.

Therefore, their average velocities are not equal.

Also, $B$ overtakes $A$ on the way.

Hence, option $\left(C\right)$ is the correct answer.