A man is moving down in an inclined plane with 10m/s .He observed rain is coming horizontally with 12m/s.If the speed of man is doubled then find the velocity of rain w.r.t to man
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Explanation: The described situation is shown in the given figure.
Here, vc = Velocity of the cyclist
vr = Velocity of falling rain
In order to protect himself from the rain, the man must hold his umbrella in the direction of the relative velocity (v) of the rain with respect to the man.
tan0 = vc/vr = 10/30
0 = 18 degree
Hence, the man must hold the umbrella toward the south, at an angle of nearly 18 with the vertical.
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