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A pipe which can rotate in a vertical plane is mounted on a cart. The cart moves uniformly along a horizontal path with a speed \( v_{1}=2 \mathrm{~m} / \mathrm{s} \). At what angle a to the
\( \mathrm{P} \) horizontal should the pipe be placed so that drops of rain falling with a velocity \( v_{2}=6 \mathrm{~m} / \mathrm{s} \) move parallel to
W the walls of the pipe without touching them ? consider the velocity of the drops as constant due to the resistance of the air.
(1) \( \tan ^{-1}(3) \)
(2) \( \tan ^{-1}\left(\frac{1}{3}\right) \)
(3) \( \tan ^{-1}\left(\frac{1}{2}\right) \)
(4) None of these
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