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A man can swim with velocity v relative ...

A man can swim with velocity v relative to water. He has to cross a river of width d flowing with a velocity `u (u gt v)`. The distance through which he is carried down stream by the river is x. Which of the following statements is correct?

A

If he crosses the river in minimum time, `x = (du)/(v)`.

B

`x` cannot be less than `(du)/(v)`.

C

For x to be minimum, he has to swim in a direction making an angle of `(pi)/(2) + sin^(-1) (v//u)` with the direction of the flow of water.

D

x will be maximum if he swims in a direction making an angle of `(pi)/(2) 0 sin^(-1)(v//u)` with the direction of the flow of water.

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The correct Answer is:
A, C
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