1. Tardigrade
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  3. Physics
  4. A river is flowing from west to east with a speed of 5 m / min. 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 to the south ?

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Q. A river is flowing from west to east with a speed of $5\, m / \min$. 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 to the south ?

JIPMERJIPMER 2006Motion in a Plane

Solution:

Let the swimmer swims at an angle $\theta$ with the vertical.
image
$\therefore \sin \theta =\frac{v_{r}}{v_{s}}=\frac{5}{10}=\frac{1}{2}=\sin 30^{\circ}$
$\theta =30^{\circ}$
The swimmer should swim $30^{\circ}$ east of south to take the shortest possible path to go to the south.