STANDARD Physics Relative Velocity MCQ Question
Rain is falling vertically with a speed of 30 m s⁻¹. A woman rides a bicycle with a speed of 12 m s⁻¹ in east to west direction. In which direction she should hold her umbrella?
At an angle of tan⁻¹(2/5) with the vertical towards the east.
At angle of tan⁻¹(2/5) with the vertical towards the west.
At angle of tan⁻¹(5/2) with the vertical towards the east.
At angle of tan⁻¹(5/2) with the vertical towards the west.
Correct Answer
Detailed Explanation
To protect herself from rain, the woman should hold her umbrella in the direction of the relative velocity of rain with respect to the bicycle. The relative velocity can be calculated using vector addition, resulting in an angle of tan⁻¹(2/5) with the vertical towards the west.
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