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Displacement of COM:Application

A man is walk...

Question

A man is walking on a level road at a speed of 3 km/h. Rain drops fall vertically with a speed of 4 km/h. Find the velocity of the rain drops with respect to the man.

A

10 km/h

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B

15 km/h

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C

5 km/h

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D

3 km/h

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Solution

The correct option is B 5 km/h
Let the velocity of rain drops be represented by ${\to v}_{R} = - 4 k m / h^j$
and the velocity of man be ${\to v}_{M} = 3 k m / h^i$

Hence the velocity of rain drops with respect to man= ${\to v}_{R} - {\to v}_{M}$

$- 4 k m / h^j - 3 k m / h^i$

The magnitude of this relative velocity= $\sqrt{3^{2} + 4^{2}} k m / h$
$= 5 k m / h$

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