A man is walking due east at the speed of 3km/h. Rain appears to fall down vertically at the rate of 3km/h. The magnitude of actual velocity of the rain is
A
3km/h
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B
3√2km/h
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C
6km/h
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D
9km/h
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Solution
The correct option is B3√2km/h Velocity of man, vm=3km/h due East Velocity of rain w.r.t man, vrm=3km/h vertically downwards. Actual velocity of rain =vr
From the figure, we have v2r=v2rm+v2m v2r=32+32 Hence, we get, vr=3√2km/h The correct option is (b).