Question

Rain is falling vertically with the speed of 30 metre per second a woman rides a bicycle with a speed of 10 M per second in north to south direction what is the relative velocity of the rain with respect to women what is the direction in wch she should hold her umbrella to protect mself

Answer 1

vertical rainfall be A= 30m/s
women riding at B=10m/s
relative rainfall speed C=?
C=30*30+10*10
C=31.623
and the angle at which the women must hold the umbrella will be 71.56 degrees

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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