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Question

A glass wind screen whose inclination with the vertical can be changed is mounted on a car. The car moves horizontally with a speed of 2 m/s. At what angle α with the vertical should the wind screen be placed so that rain drops falling vertically downwards with velocity 6 m/s strike the wind screen perpendicularly?

A
tan1(13)
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B
tan1(3)
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C
cos1(3)
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D
sin1(13)
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Solution

The correct option is B tan1(3)
Velocity of rain with respect to car vRC=vRvC should be perpendicular to the wind screen.
From figure,
tanα=vRvC=62
α=tan1(3)



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