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Question

A man holds an umbrella at 30 with the vertical to keep himself dry. He, then, runs at a speed of 10 ms1 and finds the rain drops to be hitting vertically. Speed of the rain drops w.r.t. the running man and w.r.t. earth are
  1. 20 ms1, 10 ms1
  2. 103 ms1, 20 ms1
  3. 10 ms1, 203 ms1
  4. 20 ms1, 103 ms1


Solution

The correct option is B 103 ms1, 20 ms1
vm= velocity of man
vre= velocity of rain w.r.t. earth
vrm= velocity of rain w.r.t. man
Velocity of man |vm|=10 ms1 
Using sin 30=vmvre
or vre=vmsin 30=1012=20 ms1
Again cos 30=vrmvre
or vrm=vre cos 30=20×32=103 ms1

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