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A horizontal wid is blowing with a veloc...

A horizontal wid is blowing with a velocity `v` towards north-east. A man starts running towards north with acceleration `a`. The after which man will feel the wind blowing towards east is

A

`(v)/(a)`

B

`(sqrt2v)/(a)`

C

`(v)/(sqrt2a)`

D

`(2v)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vecV_(w)=(v)/(sqrt(2))(hati+hatj)`
`vecV_(m)=at hatj`
`vecV_(wm)=(V)/(sqrt(2))hati+((V)/(sqrt(2))-at) hatj`
It appears due east, when `(V)/(sqrt(2))-at=0`
`rArrt=(V)/(sqrt(2)a)`
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