Train A is moving along two parallel rail tracks towards north with speed 72 km / h and train B is moving towards south with speed 108 km / h . Velocity of train B with respect to A and velocity of ground with respect to B are (in ms -1 ) :

Physics · Motion in Plane

JEE Main 2024 — 1 February, Shift 2 — Question 44

Train A is moving along two parallel rail tracks towards north with speed $72 \mathrm{~km} / \mathrm{h}$ and train B is moving towards south with speed $108 \mathrm{~km} / \mathrm{h}$ . Velocity of train B with respect to A and velocity of ground with respect to B are (in $\mathrm{ms}^{-1}$ ) :

Option A:
-30 and 50
Option B:
-50 and -30
Option C:
-50 and 30
Correct
Option D:
50 and -30

Answer: C

Step-by-step solution

$\quad B \downarrow 30 \mathrm{~m} / \mathrm{s}$

$A^{\uparrow 20 \mathrm{~m} / \mathrm{s}}$

$\mathrm{V}_{\mathrm{A}}=20 \mathrm{~m} / \mathrm{s}$

$\mathrm{V}_{\mathrm{B}}=-30 \mathrm{~m} / \mathrm{s}$ Velocity of B w.r.t. A

$\mathrm{V}_{\mathrm{B} / \mathrm{A}}=-50 \mathrm{~m} / \mathrm{s}$ Velocity of ground w.r.t. B

$\mathrm{V}_{\mathrm{G} / \mathrm{B}}=30 \mathrm{~m} / \mathrm{s}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 1 February, Shift 2
Subject: Physics
Chapter: Motion in Plane
Topic: Relative Motion in One Dimension