   Chapter 3, Problem 38AP

Chapter
Section
Textbook Problem

Two canoeists in identical canoes exert the same effort paddling and hence maintain the same speed relative to the water. One paddles directly upstream (and moves upstream), whereas the other paddles directly downstream. With downstream as the positive direction, an observer on shore determines the velocities of the two canoes to be −1.2 m/s and + 2.9 m/s, respectively, (a) What is the speed of the water relative to the shore? (b) What is the speed of each canoe relative to the water?

(a)

To determine
The speed of the water relative to the shore.

Explanation

Taking downstream as the positive direction, the velocity of the water relative to the shore is

vWS=vWS

Here,

vWS is the speed of the flowing water

If the common speed of the water is vCW ,

(vCW)downstream=vCW(vCW)upstream=vCW

Here,

vCW is the velocity of the canoe with respect to the water

The velocity of the canoe moving downstream relative to the water is,

vCW=vCSvWS

Substitute 2.9m/s for vCS

(b)

To determine
The speed of each canoe relative to the water.

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