31901 90798Art Ni 526 50 UPPage 4 of 48.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/sfrom a height of 32 feet above the ground. The height s (in feet) of the stone above the groundtseconds 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+Gett32ACce leartienA32veleey(B) How high does the rock go? How long does it take the rock to reach its highest point?phg anuer tn toeuahion6rginal erhenpet -s2t04oansuer(C) At what speed will the rock hit the ground?ptseayal to 0GndToSet Grighal eaaNPactorOvtnnumharquaddratie formalaeloayMe(D) On what interval the speed is increasing? lu Cnswe tO

Question
Asked Oct 14, 2019

Help with number 8 part d

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
help_outline

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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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check_circleExpert Solution
Step 1

To identify the interval(s) in which the speed is increasing, as per the given function s(t)

Step 2

speed is the rate of change of distance with respect to t...

D)s(t)16/64t+32
speed s'(t)-32t+64
Rate of change of speed
acceleration
= s"(t)=-32
This is negative for any time t
So,there is no int erval in which speed increases.
help_outline

Image Transcriptionclose

D)s(t)16/64t+32 speed s'(t)-32t+64 Rate of change of speed acceleration = s"(t)=-32 This is negative for any time t So,there is no int erval in which speed increases.

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Calculus