A swimmer can swim at 3 m/s in still water. She crosses a river 60 m wide that flows at 5 m/s, faster than she can swim. She cannot land directly opposite, but by choosing her direction well she lands as little downstream as possible. How far downstream is that?

PhysicsHardHigh School (11–12)Mechanics › Relative Motion

A swimmer can swim at $3\ \text{m/s}$ in still water. She crosses a river $60\ \text{m}$ wide that flows at $5\ \text{m/s}$ , faster than she can swim. She cannot land directly opposite, but by choosing her direction well she lands as little downstream as possible. How far downstream is that?

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