Question

A person is running at 2 m/s towards a cart which starts from rest at t = 0 with constant acceleration of $2m/s^2$ away from him. A plane mirror is attached to the cart. At t = 4 sec man will find velocity of his image in plane mirror to be

• A. 4 m/s away from him
• B. 16 m/s away from him
• C. 8 m/s away from him
• D. 4 m/s towards him

Answer 1

The correct option is A 4 m/s away from him

Due to mirror ${\overrightarrow{V}}_I=8\hat{i}$

Due to man ${\overrightarrow{V}}_I=-2\hat{i}$

${\overrightarrow{V}}_{I,G}=6\hat{i}$

${\overrightarrow{V}}_{I,m}={\overrightarrow{V}}_{I,G}-{\overrightarrow{V}}_{m_{,}G}=6\hat{i}-2\hat{i}=4\hat{i}m/s$