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.

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

(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

Quantrex Academy · Accepted Answer

Correct answer: D. (A) and (E) only

From the position time graph the velocity is found out by the slope of the line. The slope is given by $\dfrac{{x}_{2} - {x}_{1}}{{t}_{2} - {t}_{1}}$ .

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...

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