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A swimmer tries to cross a river swimming at angle theta to the perpendicular to

ID: 1431978 • Letter: A

Question

A swimmer tries to cross a river swimming at angle theta to the perpendicular to the stream. (To the left) . The speed of the swimmer is v' , the speed of the river is u ( to the right) , the width of the river is h. At what point of the other shore will the swimmer land. (Calculate the distance d between landing point and opposite point) A swimmer tries to cross a river swimming at angle theta to the perpendicular to the stream. (To the left) . The speed of the swimmer is v' , the speed of the river is u ( to the right) , the width of the river is h. At what point of the other shore will the swimmer land. (Calculate the distance d between landing point and opposite point)

Explanation / Answer

The time taken by the swimmwer to cross the river is t =h/v '

Distance from the opposite point where the swimmer lands is =ut =u(h/v')

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