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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` can not 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 max. if he swims in a directin making an angle of `(pi)/2+sin^(-1)v/u` with direction of the flow of water

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The correct Answer is:
A, C
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