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A car is moving on a horizontal road with a speed of 20 m/s. Rain is falling vertically downwards with a speed of 10m/s. If the raindrops strike the windscreen of the car normally, then the angle made by the windscreen with the vertical?
Ans tan-1(.5)
Let the velocity of the car be Vc and that of the rain be Vr Now on plotting the figure we get a right angled triangle with its perpendicular as Vr=10m/s and the horizontal component i.e. the base as Vc=20 m/s Now since the angle required is the vertical angle off the triangle
therefore
tanΦ=Vc/Vr
tan Φ=1/2
Φ=tan-1(.5)
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