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Water traveling along a straight portion of a river normally flows fastest in the middle...

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Calculus

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Water traveling along a straight portion of a river normally flows fastest in the middle and the speed slows to almost zero at the banks Consider a long straight stretch of river flowing north with parallel banks 100 m apart If the maximum water speed is 3 m s we can use a quadratic function as a basic model for the rate of water flow x units from the west bank f x 3 x 100 x 2500 a A boat proceeds at a constant speed of 5 m s from a point A on the west bank while maintaining a heading perpendicular to the bank How far down the river on the opposite bank in m will the boat touch shore m

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