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A motor boat is to reach at a point 30^@...

A motor boat is to reach at a point `30^@` upstream on the outer side of a river flowing with velocity `5 ms^(-1)`. The velocity of motor boat with respect to water is `5(sqrt3) ms^(-1)`. The driver should steer the boat at an angle.

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

The velocity of motor boat is given as
`vecv_(m)=vecv_(mx)+vecv_(w)`
`rArr 5/(sin theta)=5sqrt3/(sin 120^(@)) rArr sin theta=1/2 rArr theta=30^(@)`
`:. (a),(b),( c)`
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Knowledge Check

  • A motor boat is to reach at point 30^(@) upsteam (w.rt. Normal) on other side of a river flowing with velocity 5m//s . Velocity of motorboat w.r.t. water is 5sqrt(3) m//s . The driver should steer the baot at an angular

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    D
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