A man can swim with velocity $v$ relative to water. He has to cross a river of width $d $ flowing with a velocity $u (u > v)$. The distance through which he is carried down stream by the river is $x$. Which of the following statement is correct
A man can swim with velocity $v$ relative to water. He has to cross a river of width $d $ flowing with a velocity $u (u > v)$. The distance through which he is carried down stream by the river is $x$. Which of the following statement is correct
- A
If he crosses the river in maximum time $x = \frac{{du}}{v}$
- B
$x$ can not be less than $\frac{{du}}{v}$
- C
For $x$ to be minimum he has to swim in a direction making an angle of $\frac{\pi }{2} + {\sin ^{ - 1}}\left( {\frac{v}{u}} \right)$ with the direction of the flow of water
- D
(a) and (c) both
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- [JEE MAIN 2021]
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