Suppose that a northward-flowing river is w = 2a wide, where a = 0.5 mi, and that its midstream velocity is v₁ = 12 mi/h. A swimmer starts at the point (-a,0) on the west bank and swims due east (relative to the water) with constant speed Vs = 4 mi/h. The velocity VR at which the water flows increases as one approaches the center of the river, and is given ×4 in terms of distance x from the center by VR = VO a4 the river. Find how far downstream the swimmer drifts as he crosses The swimmer drifts mi downstream.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Suppose that a northward-flowing river is w = 2a wide, where a = 0.5 mi, and that its midstream velocity is v₁ = 12 mi/h.
A swimmer starts at the point (-a,0) on the west bank and swims due east (relative to the water) with constant speed
Vs = 4 mi/h. The velocity VR at which the water flows increases as one approaches the center of the river, and is given
×4
in terms of distance x from the center by VR = VO
a4
the river.
Find how far downstream the swimmer drifts as he crosses
The swimmer drifts mi downstream.
Transcribed Image Text:Suppose that a northward-flowing river is w = 2a wide, where a = 0.5 mi, and that its midstream velocity is v₁ = 12 mi/h. A swimmer starts at the point (-a,0) on the west bank and swims due east (relative to the water) with constant speed Vs = 4 mi/h. The velocity VR at which the water flows increases as one approaches the center of the river, and is given ×4 in terms of distance x from the center by VR = VO a4 the river. Find how far downstream the swimmer drifts as he crosses The swimmer drifts mi downstream.
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