Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 2 - Section 2.1 - The Tangent and Velocity Problems - 2.1 Exercises - Page 82: 7

Answer

a) i) 29.3 ft/s ii) 32.7 ft/s iii) 45.6 ft/s iv) 48.75 ft/s b) 30 ft/s

Work Step by Step

a) i) $\frac{79.2-20.6}{4-2}$ ii)$\frac{79.2-46.5}{4-3}$ iii)$\frac{124.8-79.2}{5-4}$ iv)$\frac{176.7-79.2}{6-4}$ b) The answer should be similar to the average velocity between t=2 and t=4, which we found in part (a) (29.3 ft/s). We can graph a tangent line and get a more precise estimate of 29.7 ft/s.
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