An object moving along a horizontal coordinate line has directed distance s(t) = t - 6t2 + 9t + 11 feet at the end of %3D t seconds. (a) Determine the time intervals when the object is speeding up or slowing down. (b) Give the total distance covered by the object after 4 seconds.

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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An object moving along a horizontal coordinate line
has directed distance s(t) = t³ - 6t² +9t+11 feet at the end of
t seconds.
(a) Determine the time intervals when the object is speeding up
or slowing down.
(b) Give the total distance covered by the object after 4 seconds.
Transcribed Image Text:An object moving along a horizontal coordinate line has directed distance s(t) = t³ - 6t² +9t+11 feet at the end of t seconds. (a) Determine the time intervals when the object is speeding up or slowing down. (b) Give the total distance covered by the object after 4 seconds.
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