A man holds an umbrella at \( 30^{\circ} \) with the vertical to keep himself dry. He, then, run...

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A man holds an umbrella at \( 30^{\circ} \) with the vertical to keep himself dry. He, then, runs at a speed of \( 10 \mathrm{~m} \mathrm{~s}^{-1} \), and find the rain drops to be hitting vertically. Study the following
\( \mathrm{P} \) statements and find the correct options.

W
i. Velocity of rain w.r.t. Earth is \( 20 \mathrm{~m} \mathrm{~s}^{-1} \)
ii. Velocity of rain w.r.t. man is \( 10 \sqrt{3} \mathrm{~m} \mathrm{~s}^{-1} \)
iii. Velocity of rain w.r.t. Earth is \( 30 \mathrm{~m} \mathrm{~s}^{-1} \)
iv. Velocity of rain w.r.t. \( \operatorname{man} \) is \( 10 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1} \)
(1) Statements (i) and (ii) are correct.
(2) Statements (i) and (iii) are correct.
(3) Statements (iii) and (iv) are correct.
(4) Statements (ii) and (iv) are correct.
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