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Rain is falling vertically with a speed ...

Rain is falling vertically with a speed of `20ms^(-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:

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1)(1//2)`
`vecV_(R) = (15hati +20hatj), vecV_(M) = 5hati`
`vecV_(RM) = 10hati +20 hatj`
`tan theta = (1)/(2)`
`theta = tan (1)/(2)`
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