Question

Rain is falling vertically with a speed of 21 m/s (approx). A man rides a 

              bicycle with a speed of 12m/s in East to west direction. Find the direction 

               in which he should hold his umbrella​

Answer 1

Answer:

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.

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