Rain is falling vertically downwards with a velocity of 4km/h. A man walks in the rain with a velocity of 3km/h. The raindrops will fall on the man with a velocity of magnitude
A
1km/h
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B
3km/h
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C
4km/h
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D
5km/h
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Solution
The correct option is D5km/h Velocity of rain , →vr=−4^j
Velocity of man, −→vm=3^i
Let →vrm be the velocity of rain w.r.t man
We know that →vrm=→vr−→vm =−4^j−3^i∴|→vrm|=√(−4)2+(−3)2=√25=5km/h