A man can swim with a speed of 3 m/s in still water. He crosses a river of width 100 m by swimming in the direction that will take him across in the smallest possible time. When he reaches the opposite shore, he has been swept 50 m downstream. How fast is the river flowing?

Explanation:

The given data is as follows.

           width = 100 m,          speed = 3 m/s

So, minimum time required to cross the stream is calculated as follows.

          t =          

Also, in the  same time the man has moved downstream by 50 meter.

Hence, distance traveled downstream is as follows.

            d = velocity of river × t

                   =

                   =

                   = 1.5 m/s

Thus, we can conclude that the river is flowing by 1.5 m/s.

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

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