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Rain is falling vertically with a speed of 20ms –1 . A person is running in the rain with a velocity of 5 ms –1 and a wind is also blowing with a speed of 15ms-1 (both from the west). What is the angle with the vertical at which the person should hold his umbrella so that he may not get drenched.

Rain is falling vertically with a speed of 20ms –1 . A person is
running in the rain with a velocity of 5 ms –1 and a wind is also
blowing with a speed of 15ms-1 (both from the west). What is
the angle with the vertical at which the person should hold his
umbrella so that he may not get drenched.

Grade:11

1 Answers

Harsh Tiwari
54 Points
one year ago
The velocity of the rain that is vertically falling downward is v(rain)
​=20m/s.
The velocity of the wind that is blowing from west to east is v(wind)
​=15m/s
as the person is walking 5m/s, hence, the final velocity from west to east is =10m/s
Now, the resultant velocity  
v makes an angle θ with the vertical.
tanθ= v(rain)/v(wind)
=10/20
tan\Theta=1/2
 

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