Rain is falling vertically
with a speed of 30 m/s. A person is running in the rain with a speed of 10 m/s from
north to south. In which direction should he hold an umbrella so as to protect himself from the rain?
of
1) tan
(3) towards north from vertical
2) tan 3 towards north from vertical
1
3) tan
towards south from vertical
3
4) tan (3) towards south from vertical
Answers
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.
Answer:
Answer is (3)
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