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Q.

Aman walks horizontally in rain with a velocity of 5 m/s. The raindrops strike on his back at angle of 450 with the horizontal. Then for the actual rain's velocity

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a

horizontal component = vertical component

b

horizontal component > vertical component

c

horizontal component < vertical component

d

none of these

answer is B.

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Detailed Solution

Velocity of man: vm→=5i^Velocity of rain w.r.t man:v →r/m=v1cos⁡45∘i^−v1sin⁡45∘k^=v12i^−v12k^Hence, velocity of rain:vr→=v→r/m+vm→⇒vr→=v12+5i^−v12k^Horizontal component of rain's velocity =v12+5Vertical component of rain's velocity =v12So horizontal component > vertical component
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