Kinematics Question 317

Question: A river it’s flowing from W to E 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. [BHU 2005]

Options:

A) 30° with downstream

B) 60° with downstream

C) 120° with downstream

D) South

Show Answer

Answer:

Correct Answer: C

Solution:

For shortest possible path man should swim with an angle (90+q) with downstream. From the fig, $ \sin \theta =\frac{v _{r}}{v _{m}}=\frac{5}{10}=\frac{1}{2} $

therefore
$ \therefore $ q = 30° So angle with downstream = $ 90{}^\circ +30{}^\circ =120{}^\circ $



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