Question

Rain is falling at an angle 30 degrees from vertical due to the wind moving with speed 40m/s.A car is moving against wind with speed 40 m/s. At what angle will car experience the rain ?
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Answer 1

Explanation:

The described situation is shown in the given figure.

Here, v

c

= Velocity of the cyclist

v

r

= 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.

tanθ=v

c

/v

r

=10/30

θ=18

o

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