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The speed of a swimmer with respect to t...

The speed of a swimmer with respect to the water is v, the speed of the stream is u. In what direction should the swimmer move to reach the opposite point on the other bank of the river? How long will he swim if the width of the river is `l`?

Text Solution

Verified by Experts

The correct Answer is:
`sin alpha = u//v; t = l//v cos alpha`.
For the swimmer not to drift with the steam, the condition `-v_(x)+ + u=0` must be satisfied (see fig.). Hence the given answer. The problem has a solution for `Iv gt u`.
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