Question

On a certain day, the rain was falling vertically with a speed of 30m/s. A man is cycling from west to east direction with a speed of 10m/s. In which direction should he turn his umbrella to protect him from the rain. Calculate the velocity with which the rain hit the umbrella.
Plz show the diagram too

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.