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(B) Let $\vec{v}_m$ be the velocity of the bus (man) moving from west to east.Let $\vec{v}_r$ be the actual velocity of the rain.Let $\vec{v}_{rm}$ be

Vedclass · Accepted Answer

To fall at an angle going from west to east

Vedclass · Answer

(B) Let $\vec{v}_m$ be the velocity of the bus (man) moving from west to east.Let $\vec{v}_r$ be the actual velocity of the rain.Let $\vec{v}_{rm}$ be the velocity of the rain with respect to the man in the bus.We are given that $\vec{v}_{rm}$ is vertical (downwards).By the definition of relative velocity,$\vec{v}_{rm} = \vec{v}_r - \vec{v}_m$,which implies $\vec{v}_r = \vec{v}_{rm} + \vec{v}_m$.Since $\vec{v}_{rm}$ is vertical and $\vec{v}_m$ is directed from west to east,the resultant vector $\vec{v}_r$ must have a horizontal component directed from west to east.Therefore,to a stationary observer on the ground,the rain appears to fall at an angle,moving from west to east.

$A$ man sitting in a bus travelling from west to east with a speed of $40 \, km/h$ observes that the rain-drops are falling vertically down. To another man standing on the ground,the rain will appear:

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