Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.4 The Tangent and Velocity Problems - 1.4 Exercises - Page 50: 7


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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