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Physics-Relative Motion

NEET Physics Relative Motion MCQ Question

Type: MCQ-numerical-Easy-Class 11

If object A is moving with a velocity of vA=5i^+3j^\mathbf{v}_A = 5\hat{i} + 3\hat{j} m/s and object B is moving with a velocity of vB=2i^+4j^\mathbf{v}_B = 2\hat{i} + 4\hat{j} m/s, what is the velocity of object A relative to object B?

A

3i^−1j^m/s3\hat{i} - 1\hat{j} m/s

B

7i^+7j^m/s7\hat{i} + 7\hat{j} m/s

C

3i^+1j^m/s3\hat{i} + 1\hat{j} m/s

D

1i^+7j^m/s1\hat{i} + 7\hat{j} m/s

Correct Answer

Option A

Detailed Explanation

The velocity of object A relative to object B is given by vAB=vA−vB\mathbf{v}_{AB} = \mathbf{v}_A - \mathbf{v}_B. Using the given velocities, vAB=(5−2)i^+(3−4)j^=3i^−1j^\mathbf{v}_{AB} = (5 - 2)\hat{i} + (3 - 4)\hat{j} = 3\hat{i} - 1\hat{j} m/s.

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