An athlete needs to get across a river. he must reach from point A on one side to point B, directly across from point A on the opposite side. If he wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should he swim? His swimming speed relative to the water is 2.0 mi/h, and his running speed along the bank is 5 mi/h. The river flows downstream at 1.5 mi/h. (The athlete must swim first from point A, then run to reach point B.)
An athlete needs to get across a river. he must reach from point A on one side to point B, directly across from point A on the opposite side. If he wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should he swim? His swimming speed relative to the water is 2.0 mi/h, and his running speed along the bank is 5 mi/h. The river flows downstream at 1.5 mi/h. (The athlete must swim first from point A, then run to reach point B.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An athlete needs to get across a river. he must reach from point A on one side to point B, directly across from point A on the opposite side. If he wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should he swim? His swimming speed relative to the water is 2.0 mi/h, and his running speed along the bank is 5 mi/h. The river flows downstream at 1.5 mi/h. (The athlete must swim first from point A, then run to reach point B.)
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