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.)

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Description: 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

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section5.1: Vectors

Problem 3PP

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