A river flows from left to right at a constant speed v = 5m/s as measured by a p

Question

A river flows from left to right at a constant speed v = 5m/s as measured by a person on the ground. A swimmer, who swims at a constant speed c = 7m/s in still water at a constant angle =60o ( as measured from the direction of v, and as measured by a person on the ground).

a) Determine the speed of the swimmer as measured by a person on the ground. You will need to use the quadratic formula here and remember that : cos2 + sin2 = 1

b) If the width of the river is W = 530m, determine how long it takes for the swimmer to cross the river, and determine how far the swimmer is pulled down river.

Explanation / Answer

a) (7cos60 + 5)^2 + (7sin60)^2 = 10.44 m/s

b)t=530/7sin60 = 87.43 seconds

distance = (7cos60 + 5)*t = 716.93 m

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