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A man is moving downward on an inclined ...

A man is moving downward on an inclined plane `(theta=37^(@))` with velocity `v_(0)` and rain drops appear to him moving in horizontal direction with velocity `2v_(0)` towards him. If man increases his velocity to `2v_(0)` him velocity of rain drops as observed by man is `:`

A

`sqrt((41)/(5))v_(0)`

B

`sqrt(39)v_(0)`

C

`7v_(0)`

D

`6v_(0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity of rain with respect to man initially as shown

Velocity relative to man when it increase its speed to `2V_(0)`.

So resultant velocity of rain with respect to man
`sqrt((2V_(0))^(2)+(V_(0))^(2)+4V_(0)^(2)cos 37^(@))=sqrt((41)/(5))V_(0)`
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