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: 2a

Answer

1.74 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. For this case, we have 2 segments: 1) you walk 73.2m at a speed of 1.22 m/s 2) you run 73.2m at a speed of 3.05 m/s The distance covered in segment 1 is 73.2m (given) and the time it takes can be found by taking the 73.2m and dividing it by 1.22m/s, which gives 60 seconds. The distance covered in segment 2 is 73.2m (given) and the time it takes can be found by taking the 73.2m and dividing it by 3.05 m/s, which gives 24 seconds. The total distance is 73.2 + 73.2 = 146.4m and the total time is 60 + 24 = 84 seconds. The average velocity is displacement/time or 146.4m/84seconds = 1.74 m/s
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