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A motor boat is to reach to a point 30^(...

A motor boat is to reach to a point `30^(@)` upstream on other side of a river flowing with velocity `5 m//s`.Velocity of motor boat with respect to water is `5sqrt3m//sec`.The driver should steer the boat at an angle of

A

`30^(@)` w.r.t the line of destination from starting point.

B

`60^(@) w.r.t normal to the bank.

C

`120^(@)` w.r.t stream direction.

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
c
The velocity of motor boat is given as `barV_(m)=barV_(mw)+barV_(m)`
`impliesbarV_(m)=-(5sqrt(3)cos30^(@))hati+(5sqrt(3)sin30^(@))hatj+5hati`
`impliesbarfV_(m)=-7.5hati+(5sqrt(3))/(2)hatj+5hati`
`barV_(m)=-2.5hati+(5sqrt(3))/(2)hatj`
`phi =tan^(-1)[(5sqrt(3))/(2xx2.5)]=tan^(-1)(-sqrt(3))=120^(@)`
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