Fundamentals of Physics Extended (10th Edition)

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

Chapter 15 - Oscillations - Questions - Page 435: 7d


1, 2, 3

Work Step by Step

We are given a graph of position and asked to rank the boxes according to their speed. The derivative of position with respect to time is velocity; so we can estimate the velocity of each box by looking at the slope of the tangent line on the graph at $t=0$. From the graph, we can see that the slope of the tangent line on curve 1 is positive and steep, on curve 2 it is negative and shallow, and on curve 3 the slope is zero. Ranking them according to speed, greatest first, we have spring 1, then 2, then 3.
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