A man wearing a hat of extended length \( 12 \mathrm{~cm} \) is running in rain falling vertical...

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A man wearing a hat of extended length \( 12 \mathrm{~cm} \) is running in rain falling vertically downward with
\( \mathrm{P} \)
speed \( 10 \mathrm{~m} / \mathrm{s} \). The maximum speed with which man
W
can run, so that rain drop do not fall on his face [the length of his face below the extended part of the hat is \( 16 \mathrm{~cm} \) ] will be
(1) \( 13.33 \mathrm{~m} / \mathrm{s} \)
(2) \( 7.5 \mathrm{~m} / \mathrm{s} \)
(3) \( 10 \mathrm{~m} / \mathrm{s} \)
(4) None
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