Flag Mechanics> Rain is falling vertically with a speed of 20ms20ms
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Rain is falling vertically with a speed of 20ms20ms11 . A person isrunning in the rain with a velocity of 55 ms –11 and a wind is alsoblowing with a speed of 15ms115ms-1 bothboth from the westwest. What isthe angle with the vertical at which the person should hold hisumbrella so that he may not get drenched.

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Seema Sinha , 3 Years ago
Grade 11
anser 1 Answer
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Harsh Tiwari

Last Activity: 3 Years ago

The velocity of the rain that is vertically falling downward is vrain
​=20m/s.
The velocity of the wind that is blowing from west to east is vwind
​=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= vrain/vwind
=10/20
tanTheta=1/2

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