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A man starts running along a straight ro...

A man starts running along a straight road with uniform velocity observes that the rain is falling vertically downward. If he doubles his speed, he finds that the rain is coming at an angle `theta` to the vertical. The velocity of rain with respect to the ground is :

A

`uhati+utanthetahatj`

B

`uhati-(u)/tanthetatheta`

C

`utanthetahati-uhatj`

D

`(u)/(tantheta)hati-uhatj`

Text Solution

Verified by Experts

The correct Answer is:
B

`rArr vec(v)_(R//M)=u/(tan theta)-hat(j)`
`:. Vec(v)_(R)=vec(v)_(R//M)+vec(v)_(M)`
`rArr vec(v)_(R)=uhat(i)-u/(tan theta) hat(j)`
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