STANDARD Physics Relative Velocity MCQ Question
A girl riding a bicycle with a speed of 5 ms⁻¹ towards north direction, observes rain falling vertically down. If she increases her speed to 10 ms⁻¹, rain appears to meet her at 45° to the vertical. What is the speed of the rain?
5√2 ms⁻¹
5 ms⁻¹
10√2 ms⁻¹
10 ms⁻¹
Correct Answer
Detailed Explanation
When the girl increases her speed to 10 ms⁻¹, the rain appears to fall at 45° to the vertical. This implies that the horizontal and vertical components of the rain's velocity are equal. Using vector addition, the speed of the rain is calculated as 5√2 ms⁻¹.
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