During a rainy day, rain is falling vertically with a velocity 2m/s. A boy at rest starts his motion with a constant acceleration of 2m/s 2 along a straight road. If the rate at which the angle of the axis of umbrella with vertical should be changed is 
at t = 5s so that the rain falls parallel to the axis of the umbrella,then find n.
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Sol. At any time t, rain will appear to the boy as shown in picture.
tan θ = 
= velocity of rain wrt. boy
Boy should hold his umbrella at an angle θ from the vertical
∴ tan θ = 
sec 2 θ 
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Ans. 
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