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Q.

A girl standing on road holds her umbrella at $45^{0}$ with the vertical to keep the rain away. If she starts running without umbrella with a speed of $15 \sqrt{2} k m h^{- 1}$ , the rain drops hit her head vertically. The speed of rain drops is__ $k m h^{- 1}$

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answer is 30.

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Detailed Solution

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$V_{R G} = 15 \sqrt{2} \tan 45^{0} = 15 \sqrt{2} = \frac{30}{\sqrt{2}}$

Velocity of rain, $V_{R} = \sqrt{{V_{R G}}^{2} + {V_{G}}^{2}}$

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