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The position function of an object is given by s(t) = 2t³ – 3t² – 12t + 8, t ≥ 0 a) Find the velocity and acceleration function. b) Decide the time interval(s) on which the object is moving in the positive direction. c) Find the displacement and the distance traveled from t=1 to t=3.

The position function of an object is given by s(t) = 2t³ – 3t² – 12t + 8, t ≥ 0 a) Find the velocity and acceleration function. b) Decide the time interval(s) on which the object is moving in the positive direction. c) Find the displacement and the distance traveled from t=1 to t=3.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
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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The position function of an object is given by s(t) = 2t³ - 3t² – 12t+8, t≥ 0 a) Find the velocity and acceleration function. b) Decide the time interval(s) on which the object is moving in the positive direction. c) Find the displacement and the distance traveled from t=1 to t=3.
Transcribed Image Text:The position function of an object is given by s(t) = 2t³ - 3t² – 12t+8, t≥ 0 a) Find the velocity and acceleration function. b) Decide the time interval(s) on which the object is moving in the positive direction. c) Find the displacement and the distance traveled from t=1 to t=3.
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