A motor boat is to reach at 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 $5 \sqrt{3} m / s e c$ . The driver should steer the boat at an angle of

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None of these

$30 °$ up w.r.t. the line of destination from the starting point

$150 °$ w.r.t. stream direction

$60 °$ up w.r.t. normal to the bank

answer is A, B, C.

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Detailed Solution

The velocity of motor boat is given as

${\vec{v}}_{m} = {\vec{v}}_{m w} + {\vec{v}}_{w}$

$\frac{5}{\sin θ} = \frac{5 \sqrt{3}}{\sin 120^{\circ}} \Rightarrow \sin θ = \frac{1}{2} \Rightarrow θ = 30^{\circ}$

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