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Displacement in 2D Motion

A swimmer wis...

Question

A swimmer wishes to cross a $500 m$ wide river flowing at $5 K m / h$ . His speed with respect to water is $3 K m / h$
(a) If he heads in a direction making an angle $θ$ with the flow, find the time he takes to cross the river.

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Solution

a) The vertical component $3 sin θ$ takes him to opposite side.Distance $= 0.5 k m$ , velocity $= 3 sin θ k m / h$ Time $= \frac{D i s t a n c e}{V e l o c i t y} - \frac{0.5}{3} - 0.16 h r$ $= 10 / sin θ m i n$

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