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Question: A man can row a boat with speed v<sub>br</sub> in still water, speed of river flow is v<sub>r</sub> ...

A man can row a boat with speed vbr in still water, speed of river flow is vr and vr is two times of vbr. Man reach one bank to other bank and follow a path so that the path traveled by boat is shortest. Then angle between velocity vector of boat in still water and current flow of water in river is –

A

30030^{0}

B

60060^{0}

C

90090^{0}

D

1200120^{0}

Answer

1200120^{0}

Explanation

Solution

For shortest path when vbr < vr.

sin q = vbrvr\frac{v_{br}}{v_{r}}