4. (A) The position of a particle travelling along a horizontal line in t seconds is s(t) = t³ – 21t2 + 144t – 5 meters. (a) Determine the time intervals when the object is slowing down or speeding up. (b) Determine the acceleration of the particle when the velocity is 0.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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4. (A) The position of a particle travelling
along a horizontal line in t seconds is
s(t) = t³ – 21t2 + 144t – 5 meters.
(a)
Determine the time
intervals when the object is slowing down or
speeding up.
(b)
Determine the
acceleration of the particle when the velocity
is 0.
Transcribed Image Text:4. (A) The position of a particle travelling along a horizontal line in t seconds is s(t) = t³ – 21t2 + 144t – 5 meters. (a) Determine the time intervals when the object is slowing down or speeding up. (b) Determine the acceleration of the particle when the velocity is 0.
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