An object moves along a horizontal coordinate line such that its directed distance from the origin at any time t (in seconds) is given by s(t) = –t³ + 9t² – 15t (in meters). (a) Give the position of the object at the instances when it is changing direction. (b) At which time interval(s) is the object slowing down?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An object moves along a horizontal coordinate line such that its directed distance from the origin
at any time t (in seconds) is given by s(t) = -t3 + 9t? – 15t (in meters).
(a) Give the position of the object at the instances when it is changing direction.
(b) At which time interval(s) is the object slowing down?
Transcribed Image Text:An object moves along a horizontal coordinate line such that its directed distance from the origin at any time t (in seconds) is given by s(t) = -t3 + 9t? – 15t (in meters). (a) Give the position of the object at the instances when it is changing direction. (b) At which time interval(s) is the object slowing down?
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