The position-time graphs for two students $A$ and $B$ returning from the school to their homes are shown in figure.
(A) $A$ lives closer to the school
(B) $B$ lives closer to the school
(C) $A$ takes lesser 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

Question

The position-time graphs for two students $A$ and $B$ returning from the school to their homes are shown in figure.

(A) $A$ lives closer to the school

(B) $B$ lives closer to the school

(C) $A$ takes lesser 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

Aicharya · Accepted Answer

From the position time graph the velocity is found out by the slope of the line. The slope is given by $\frac{x_{2} - x_{1}}{t_{2} - t_{1}}$ .
The slope of $B$ is greater than $A$ . Hence, the velocity of $B$ is greater than $A$ . As can be seen from the graph $X_{A} < X_{B}$ . So $A$ lives closer to the school and $V_{B} > V_{A}$ . Hence, this is the correct option.

The position-time graphs for two students A and B returning from the school to their homes are shown in…

Solution