4. An object moves along a horizontal line in a way that its position is described by the function s(1)3tr'-4r+121-6, 0sIS8 where s is in metres and t is in seconds. a) At what time(s) does the object stop moving? b) At what time(s) does the object have an acceleration of zero? c) Use your previous answers to determine during which time intervals the object is speeding up and slowing down. (Consider setting up a table for this analysis.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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Applications of Derivatives
4. An object moves along a horizontal line in a way that its position is described by the function
s(1)%-3r-4r +121-6, 0sIS8
where s is in metres and t is in seconds.
a) At what time(s) does the object stop moving?
b) At what time(s) does the object have an acceleration of zero?
c) Use your previous answers to determine during which time intervals the object is
speeding up and slowing down. (Consider setting up a table for this analysis.)
Transcribed Image Text:Applications of Derivatives 4. An object moves along a horizontal line in a way that its position is described by the function s(1)%-3r-4r +121-6, 0sIS8 where s is in metres and t is in seconds. a) At what time(s) does the object stop moving? b) At what time(s) does the object have an acceleration of zero? c) Use your previous answers to determine during which time intervals the object is speeding up and slowing down. (Consider setting up a table for this analysis.)
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