Question

Rain is falling vertically with speed of 35 m/s. A women rides a bicycle with a speed of 12 m/s in east to west direction. What is the direction in which she should hold her umbrella?

Answer 1

She should hold the umbrella a little inclined towards the west from the vertical.

Answer 2

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The described situation is shown in the attached file.... please see them!!

Here,

vc = Velocity of the cyclist

vr = Velocity of falling rain

In order to protect herself from the rain, the woman must hold her umbrella in the direction of the relative velocity (v) of the rain with respect to the woman.

v = v r + (-v c )

=30+(-10)

=20 m/s

tanθ = v c/ v r = 10/30

=> Θ = tan^-1(1/3)= tan^-1 (0.333) = 18 degree

Hence, the woman must hold the umbrella toward the south, at an angle of nearly 18° with the vertical.

I hope, this will help you

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