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Kinematics

JEE Main level, single correct, medium

89 of 308

Question 89 of 308

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

Show answer and solution

Answer: (D) $\left(A\right)$ and $\left(E\right)$ 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}\lt {X}_{B}

. So

A

lives closer to the school and

{V}_{B}\gt {V}_{A}

. Hence, this is the correct option.

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Kinematics (Graphs of motion in one dimension), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.