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Anoop is moving due east with a velocity of 1 m/s and Dhyani is moving due west with a velocity 2 m/s. What is the velocity of Anoop with respect to Dhyani?

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3 m/s

4 m/s

5 m/s

6 m/s

answer is A.

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Detailed Solution

It is a one dimensional motion. So, let us choose the east direction as positive and the west as negative. Now, given that

$v_{A}$ = velocity of Anoop = 1m/s

$v_{D}$ = Velocity of Dhyani = - 2m/s

Thus, $v_{A D}$ = Velocity of Anoop with respect to Dhyani

= $v_{A} - v_{D} = 1 - (- 2) = 3 m / s$

Hence velocity of Anoop with respect to Dhyani is 3m/s due east.

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