Question

a river is flowing from west to east with a speed of 5 m/s.a man can swim in still water with a velocity 10 m/min.in which direction should the man swim so as to take the shortest possible path to go the south

Answer 1

Answer on Question #64034, Physics / Mechanics | Relativity

A river is flowing from west to east with a speed of $5\mathrm{m / min}$ . A man can swim in still water with a velocity $10\mathrm{m / min}$ . In which direction should the man swim to take the shortest possible path to go the south?

Solution:

$\sin (\alpha) = v_{r} / v_{m}$

$\sin (\alpha) = 10 / 5 = 0.5$

$\alpha = \arcsin (0.5) = 30{}^{\circ}$

$v_{m} = \sqrt{v_{r}^{2} + v_{m}^{2}} = 11.2 \, \text{m/min}$

Answer: He should swim in direction $30{}^{\circ}$ east of north

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