Q.

A motor boat is to reach at a point 30o upstream on the other side of a river flowing with velocity 5 ms-1. The velocity of motor boat with respect to water is 53ms−1. The driver should steer the boat at an angle

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a

30o w.r.t. the line of destination from the starting point

b

60o w.r.t. normal to the bank

c

120o w.r.t. stream direction

d

None of these

answer is A.

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Detailed Solution

The velocity of motor boat is given as v→m=v→mw+v→w5sin⁡θ=53sin⁡120∘⇒sin⁡θ=1/2⇒θ=30∘
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A motor boat is to reach at a point 30o upstream on the other side of a river flowing with velocity 5 ms-1. The velocity of motor boat with respect to water is 53ms−1. The driver should steer the boat at an angle