A man is walking due east at the rate of \( 2 \mathrm{kmph} \). The...

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A man is walking due east at the rate of \( 2 \mathrm{kmph} \). The rain appears to him to come down vertically at the rate
\( \mathrm{P} \)
of \( 2 \mathrm{kmph} \). The actual velocity and direction of rainfall
W
with the vertical respectively are
(1) \( 2 \sqrt{2} \mathrm{kmph}, 45^{\circ} \)
(2) \( \frac{1}{\sqrt{2}} \mathrm{kmph}, 30^{\circ} \)
(3) \( 2 \mathrm{kmph}, 0^{\circ} \)
(4) \( 1 \mathrm{kmph}, 90^{\circ} \)
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