Question

Rain is falling vertically with a speed of 35ms-1.a woman rides bicycle with a speed of 12ms-1 in East to West direction .what is the direction in which she should hold her umbrella?

Answer 1

The lady must hold the umbrella at an angle of 71.56 degrees from the horizontal direction facing West....

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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