Relative Velocity of Two Objects – Rankers Physics
Topic: Kinematics
Subtopic: Relative Motion in Two Dimension

Relative Velocity of Two Objects

Two objects \(A\) & \(B\) are moving in a plane with velocities \(\vec{v}_A = (3\hat{i}+4\hat{j})\) m/s and \(\vec{v}_B = (7\hat{i}-3\hat{j})\) m/s respectively. The velocity of object \(A\) with respect to object \(B\) will be (in m/s):
\(4\hat{i}-7\hat{j}\)
\(4\hat{i}+\hat{j}\)
\(7\hat{i}+7\hat{j}\)
\(-4\hat{i}+7\hat{j}\)

Solution:

Relative velocity is given by \(\vec{v}_{AB} = \vec{v}_A - \vec{v}_B = (3\hat{i}+4\hat{j}) - (7\hat{i}-3\hat{j}) = -4\hat{i}+7\hat{j}\) m/s. Therefore, option D is correct.

Leave a Reply

Your email address will not be published. Required fields are marked *