Question

5. Rain is falling vertically with a speed of 30m/s .A woman rides a bicycle with a speed of
10m/s in the north to south direction. What is the relative velocity of rain w.r.t the woman?
What is the direction in which she should hold her umbrella to protect?
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Answer 1

Answer:

Here,

V1 =Velocity of the cyclist

V2=Velocity of falling rain

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

V=V1+(-V2)

V=30+(−10)=20 m/s

tanθ= V1/V2=10/30

θ=tan^−1(1/3)

θ≈18°

Hence the women must hold the umbrella towards the south, at angle of nearly 18° with the vertical.

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Answer 2

LET:

V1 =Velocity of the cyclist

V2=Velocity of falling rain

V=V1+(-V2)

V=30+(−10)=20 m/s

tanθ= V1/V2=10/30

θ=tan^−1(1/3)

θ≈18°

Thus, the women must hold the umbrella towards the south, at angle of nearly 18° with the vertical.