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: 15

Answer

Conjecture: the instantaneous velocity at at t=1 is $96$ ft/s.

Work Step by Step

(Table in the screenshot was set up using the calculator at desmos.com) Fill the table entries from left to right with $80,88,94.4,95.84,95.984.$ The average velocity approaches $96$ ft/s as the time interval gets shorter. Conjecture: the instantaneous velocity at at t=1 is $96$ ft/s.
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