A swimmer wants to cross a river, from point A to point B. The distance d1 (from A to C) is 200 m, the distance d2 (from C to B) is 150 m, and the speed vr of the current of the river is 5 km/hour. Suppose that the swimmer makes an angle of theta = 45 degrees (0.785 radians) with respect to the line from A to C. To swim directly from A to B, what speed is vs, relative to the water, should the swimmer have?
There's a figure attached, so I'll kind of explain it a little. If the line from A to C is the positive y direction, the line C to B is in the +y direction. The river current is 5 km/hour in the +x direction, while the swimmer has an angle of theta going in the -x and -y direction, so the swimmer is swimming in a kind of opposite direction from where the swimmer really wants to be.
Thanks so much for any help!
2007-01-23
05:09:23
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3 answers
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asked by
Amanda
2