Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.1 The Idea of Limits - 2.1 Exercises - Page 59: 14

Answer

The slope of the secant line: m$=2$ represents the average velocity of the object over the time interval $[0,0.5]$.
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Work Step by Step

Graph s(t) by building a table of function values. Plot the points and draw a smooth curve through them. See image. The slope of the secant line: m= $\displaystyle \frac{s(0.5)-s(0)}{0.5-0}= \displaystyle \frac{1}{0.5}=2$. This represents the average velocity of the object over the time interval $[0,0.5]$.
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