Chapter 3, Problem 2P

### 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

# A hiker walks 2.00 km north and then 3.00 km east, all in 2.50 hours. Calculate the magnitude and direction of the hiker’s (a) displacement (in km) and (b) average velocity (in km/h) during those 2.50 hours, (c) What was her average speed during the same time interval?

(a)

To determine
The magnitude and the direction of the displacement of the hiker when he completes the walk.

Explanation

Given info: The distance travelled in the north direction is 3.00â€‰km , the distance travelled in the east direction is 2.00â€‰km and the time taken for the climb is 2.50â€‰hours .

Explanation:

As displacement is a vector, the magnitude of the displacement vector is given by

Î”r=rN2+rE2

• rN is the distance in the north direction
• rE is the distance in the east direction

Substitute 3.00â€‰km for rN and 2.00â€‰km for rE .

Î”r=(3.00â€‰km)2+(2.00â€‰km)2=13.00â€‰km=3.61â€‰km

Thus, the magnitude of the displacement is 3

(b)

To determine
The magnitude and direction of the average velocity of the hiker when he completes the walk.

(c)

To determine
The average speed of the hiker when he completes the walk.

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