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Question

A swimmer wishes to cross a 500 m wide river flowing at 5 Km/h. His speed with respect to water is 3 Km/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 3sinθ takes him to opposite side.Distance =0.5 km, velocity =3sinθ km/hTime =DistanceVelocity0.530.16 hr=10/sinθ min
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