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A man moving with 5 ms^-1 observes rain ...

A man moving with `5 ms^-1` observes rain falling vertically at the rate of `10 m s^-1`. Find the speed and direction of the rain with respect to ground.

Text Solution

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`V_(RM ) = 10 m//s`
`vecV_M = 5 m//s`
` vecV_(RM) = vecV_(Ru) - vecV_(M)`
`implies vecV_(Ru) = V_(rm ) - vecV_M implies vecV_R = 5 sqrt(5)`
` tan theta =(1)/(2) , theta = tan^(-1)"" 1/2`
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