Question

# A man running on a horizontal road at 8kmph find that rain is falling vertically. He increases the speed to 12kmph and find the drops make an angle 30o with the vertical.

A
The speed of rain is 83kmph
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B
The speed of rain is 8112kmph
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C
Speed of rain wrt man is 8kmph
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D
Speed of rain wrt man is 83kmph
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Solution

## The correct option is C Speed of rain wrt man is 8kmphInitial horizontal relative velocity of rain with respect to man is zero.Because it falling vertically, when man at uxm=8kmph.Final horizontal relative velocity (VX(RM)) of rain with respect to man when he is at Vxm=12kmphVX(RM)=Vm−um=12−8=4kmph From the figure, Vresultant .Resultant relative velocity of rain with respect to man when he is at Vxm=12kmph isVresultant=VX(RM)sin30o=41/2=8kmph Hence, speed of rain w.r.t man is 8kmph, when he at velocity 12kmph .

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