Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 2 - Motion Along a Straight Line - Problems: 2b

Answer

2.14 m/s

Work Step by Step

Velocity = Displacement/Time. Therefore, in order to find the average velocity over a time period, we need to find the total displacement and the total time and divide the two. There are two segments in the following problem: 1) you walk for 1 min at a speed of 1.22m/s 2) you run for 1 min at 3.05 m/s In segment 1, you are moving at 1.22m/s for 1 min, or 60 seconds. The distance covered in this time would be 60s * 1.22m/s = 73.2m. In segment 2, you are moving at 3.05m/s for 1 min, or 60 seconds. The distance covered in this time would be 60s * 3.05 = 183m. The total displacement is 73.2 + 183 = 256.2m and the total time is 2 min or 120 seconds. Therefore the average velocity is 256.2m/120s = 2.135m/s
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