Question

A person walks at a velocity V in a straight line forming an angle $\theta$ with the plane of a plane mirror. Find the velocity $V_{rel}$ with which he approaches his image?

• A. $2Vsin\theta$
• B. $2V$
• C. $2Vcos\theta$
• D. $\frac{V}{2}sin\theta$

Answer 1

The correct option is A $2Vsin\theta$

If $V$ be the velocity of approach at an angle $\theta$, then velocity along the perpendicular direction will be $Vsin\theta$
The image will also approach at the same speed, hence the relative speed of approach will be $2Vsin\theta$