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Question

A car is moving in a rainstorm at a speed of 60 km/h. The rain drops fall vertically w.r.t the ground with a constant speed of 15 m/s. The angle with the vertical at which raindrops strike the car is

A
tan1109
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B
sin1109
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C
tan1910
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D
cos1109
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Solution

The correct option is A tan1109

Velocity of car = vc=60 km/h=50/3 m/s
Velocity of rain drops, vr=15 m/s
From the figure, we get
tan θ=vcvr=50/315=109
θ=tan1(109)

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