Chapter 3, Problem 21P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Suppose a boat moves at 12.0 m/s relative to the water. If the boat is in a river with the current directed east at 2.50 m/s, what is the boat’s speed relative to the ground when it is heading (a) east, with the current, and (b) west, against the current?

(a)

To determine
The boat’s speed relative to the ground when it is heading east, with the current.

Explanation

Let east be the positive direction.

The waterâ€™s velocity relative to the ground is,

vWG=2.50â€‰m/s

In the east direction, the boatâ€™s velocity relative to the water is,

vBW=12.0â€‰m/s

The boatâ€™s velocity relative to the ground when heading east is,

vBG=vBW+vWG

Substitute 2.50â€‰m/s for vWG and 12

(b)

To determine
The boat’s speed relative to the ground when it is heading west, against the current.

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