﻿ A particle A is moving along a straight line with velocity 5 m/s and another particle B has a velocity 8 m/s at angle 37° to the path of A. Find the relative velocity of B w.r.t. A. from Physics Motion in A Plane Class 11 Manipur Board

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A particle A is moving along a straight line with velocity 5 m/s and another particle B has a velocity 8 m/s at angle 37° to the path of A. Find the relative velocity of B w.r.t. A.

Consider,  be the velocities of particles A and B respectively.

The relative velocity of B relative to A is given by,

To find  we will first change  into  and then add to  as shown in figure.

We can see that,   makes an angle of  with .

Therefore  will subtend an angle  with

Now,
So,

The angle that the relative velocity makes with  is,

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