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Description: A swimmer heading directly across a river 200 m wide reaches the opposite bank in 1 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

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A swimmer heading directly across a river 200 m wide reaches the opposite bank in 1 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

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 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...

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A swimmer heading directly across a river 200 m wide reaches the opposite bank in 1 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

Expert Solution

Step 1

Given :

Width of the river $d = 200 m$

Time taken to reach at the other end of the river $t = 1 m i n 40 s = 60 + 40 = 100 s$

displacement of the swimmer downstream the river $l = 480 m$

Determine :

speed of the swimmer in the still water.

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