Question
An athlete needs to get across a river. She mustreach from point A on one bank to point B , which is directly across from
An athlete needs to get across a river. She mustreach from point A on one bank to point B, which is directly across from point A on the opposite bank. If she wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should she swim? Let her swimming/rowing speed relative to the water be 2.0 mi/h, and her running speed along the bank be 5 mi/h. The river flows downstream at 1.5 mi/h. (The rule of the competitionstipulates that the athletes must swimfirst from point A, then run toreach point B.)
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