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Question

The rain is falling vertically with a speed 4 ms1 and a man is moving due east with a speed 3 ms1. With what speed does the rain appear to be falling (for the man)? Also at what angle should he hold the umbrella to protect himself from rain?

A
5 ms1,37 with respect to vertical
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B
5 ms1,53 with respect to vertical
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C
5 ms1,45 with respect to horizontal
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D
5 ms1,30 with respect to horizontal
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Solution

The correct option is A 5 ms1,37 with respect to vertical
The given situation can be shown as


We have from the question
vrm=vrvm=4^j3^i
|vrm|=5 ms1
and θ=tan1(34)=37
with respect to vertical.

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