Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Section 11.4 - Introduction to Derrivatives - Concept and Vocabulary Check - Page 1174: 6


$32$, $upward$

Work Step by Step

Velocity is the derivative of distance (height in this case). From the given derivative $s'(a)=-32a+64$, at $a=1$, we have the velocity $s'(1)=-32+64=32$ feet per second. The positive sign indicates that the ball is moving $upward$ when $t=1$ second.
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