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Q.

Rain is falling with speed 122, m/s at an angle of 45o with vertical line. A man in a glider going at a speed of u at angle of 37o with respect to ground. Find the speed of glider so that rain appears to him falling vertically. Consider motion of glider and rain drops in same vertical plane.

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a

15 m/s

b

30 m/s

c

10 m/s

d

25 m/s

answer is A.

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Detailed Solution

Horizontal component of both should be same.ucos⁡θ=vraincos⁡45∘⇒ ucos⁡37∘=122×12⇒u=15m/s
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Rain is falling with speed 122, m/s at an angle of 45o with vertical line. A man in a glider going at a speed of u at angle of 37o with respect to ground. Find the speed of glider so that rain appears to him falling vertically. Consider motion of glider and rain drops in same vertical plane.