Question

Yourself
1. Rain is falling vertically with a speed of 35 m/s. A women rides a bicycle with a speed of
12 m/s in east to west direction. In which direction should she hold her umbrella?
​

Answer 1

Explanation:

ANSWER

In the figure,

v

r

represents the velocity of rain and

v

b

the velocity of the bicycle, the woman is riding. To protect herself from rain, the woman should hold her umbrella in the direction of the relative velocity of rain with respect to the bicycle

v

rb

. From figure,

tanθ=

v

r

v

b

=

30

12

=

5

2

or θ=tan

−1

(

5

2

)

Therefore, the woman should hold her umbrella at an angle of tan

−1

(

5

2

)with the vertical towards the west

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