Rain is falling with a speed of \( 4 \mathrm{~m} / \mathrm{s} \) in a direction making an angle ...
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Rain is falling with a speed of \( 4 \mathrm{~m} / \mathrm{s} \) in a direction making an angle of \( 30^{\circ} \) with vertical towards south. What should be the magnitude \& direction of velocity of cyclist to hold his umbrella exactly vertical, so that rain does not wet him :
(A) \( 2 \mathrm{~m} / \mathrm{s} \) towards north
(B) \( 4 \mathrm{~m} / \mathrm{s} \) towards south
(C) \( 2 \mathrm{~m} / \mathrm{s} \) towards south
(D) \( 4 \mathrm{~m} / \mathrm{s} \) towards north
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