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Q.

A boy is riding a bike with a speed of 5m/s towards East direction observes rain drops falling vertically downward. On increasing the speed to 15 m/s, rain appears to fall making an angle of $45^{\circ}$ of the vertical. The magnitude of velocity of rain w.r.t. ground is

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a

$25 m / s$

b

$5 m / s$

c

$5 \sqrt{5} m / s$

d

$10 m / s$

answer is B.

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Detailed Solution

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$V_{r} = \sqrt{10^{2} + 5^{2}}$

$∴ 5 \sqrt{5}$

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A boy is riding a bike with a speed of 5m/s towards East direction observes rain drops falling vertically downward. On increasing the speed to 15 m/s, rain appears to fall making an angle of 45∘ of the vertical. The magnitude of velocity of rain w.r.t. ground is