The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package directly across the river, but you can swim only at 1.50 m/s. a) If you choose to minimize the time you spend in the water, in what direction should you head ? b) How far downstream will you be carried ? c) What If ? If you choose to minimize the distance downstream that the river carries you, in what direction should you head ?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 60P: The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m...
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The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package directly across the river, but you can swim only at 1.50 m/s.

a) If you choose to minimize the time you spend in the water, in what direction should you head ?

b) How far downstream will you be carried ?

c) What If ? If you choose to minimize the distance downstream that the river carries you, in what direction should you head ?

d) How far downstream will you be carried ?

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