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Rain, driven by the wind, falls on a railway compartment with a velocity of \( 20 \mathrm{~m} \mathrm{~s}^{-1} \), at an angle of \( 30^{\circ} \) to the vertical.
\( P \) The train moves, along the direction of wind flow, at a speed of \( 108 \mathrm{~km} \mathrm{~h}^{-1} \). Determine the apparent velocity of
W rain for a person sitting in the train.
(1) \( 20 \sqrt{7} \mathrm{~m} \mathrm{~s}^{-1} \)
(2) \( 10 \sqrt{7} \mathrm{~m} \mathrm{~s}^{-1} \)
(3) \( 15 \sqrt{7} \mathrm{~m} \mathrm{~s}^{-1} \)
(4) \( 10 \sqrt{7} \mathrm{~km} \mathrm{~h}^{-1} \)
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