Answer
$2\ sec$
$164\ ft$
Work Step by Step
Step 1. Use the given formula $s(t)=-16t^2+64t+100$, the maximum height happens when $t=-\frac{64}{2(-16)}=2\ sec$
Step 2. At $t=2$, we have the maximum height as $s(2)=-16(2)^2+64(2)+100=164\ ft$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - 3.1 Quadratic Functions and Models - 3.1 Execises - Page 317: 68
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