
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Help with number 8 part d

Transcribed Image Text:31901 90798
Art Ni 526 50 UP
Page 4 of 4
8.
Solve problems involving position function.
Suppose a stone is thrown vertically upward from the end of a cliff with an initial velocity of 60 ft/s
from a height of 32 feet above the ground. The height s (in feet) of the stone above the groundt
seconds after it is thrown is s=-16t 2+64 t + 32.
(A) First, find the velocity function and acceleration function after t seconds.
32 feet
+Gett32
ACce leartien
A32
veleey
(B) How high does the rock go? How long does it take the rock to reach its highest point?
phg anuer tn to
euahion
6rginal erhen
pet -s2t04o
ansuer
(C) At what speed will the rock hit the ground?pts
eayal to 0Gnd
To
Set Grighal eaaN
PactorOvtnnumhar
quaddratie formala
eloay
Me
(D) On what interval the speed is increasing? lu Cnswe tO
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