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A man holds his umbrella vertically upwa...

A man holds his umbrella vertically upward while walking due west with a constant velocity of magnitude `V_(m) = 1.5` m/sec in rain. To protect himself from rain, he has to rotate his umbrella through an angle `phi = 30^(@)` when he stops walking. Find the velocity of the rain.

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The correct Answer is:
`a=5m//s^(2)`

`3T-mgsintheta=ma`
T = 250N
`750 - 100 xx98 xx sin15^(@) = 100 xx a`
`497 = 100 xx a`
`a=4.97 ms^(-2)`
`a=5ms^(-2)`
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