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Rain is falling vertically with a speed of 20 ms^(-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 15 ms^(-1) (both from the west). The angle with the vertical at which the person should hold his umbrella so that he may not get drenched is: |
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Answer» SOLUTION :`vec(V_("Rain"))=vec(V_(R))=20(-HATK)` `vec(V_("Man"))=vec(V_(M))=5hati` `vec(V_("wind"))=vec(V_(W))=15 hati` Resultant velocity of rain and wind `vec(V_(RM))=-20 hatk+15hati` Now Velocity of Rain relative to man = `vec(V_(RM))-vec(V_(M))` `=(-20 hatK+15 hati)-(5hati)` `=-20 hatK+10 hati` `Tan alpha=(1)/(2) RARR alpha="Tan"^(-1) (1)/(2)` 
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