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3. An object moves along a horizontal line according the equation of motion given by s(t) = 6-15t +9t²-t³, where s is in meters %3D and t is in seconds. a. Construct a table that describes the motion of the object, particularly the intervals of time when the particle is moving to the left or to the right, when the velocity is increasing or decreasing, and when the speed is increasing or decreasing. b. Find the total distance traveled by the object during the first 3 seconds.

3. An object moves along a horizontal line according the equation of motion given by s(t) = 6-15t +9t²-t³, where s is in meters %3D and t is in seconds. a. Construct a table that describes the motion of the object, particularly the intervals of time when the particle is moving to the left or to the right, when the velocity is increasing or decreasing, and when the speed is increasing or decreasing. b. Find the total distance traveled by the object during the first 3 seconds.

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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3. An object moves along a horizontal line according the equation of motion given by s(t) = 6-15t +9t²-t³, where s is in meters and t is in seconds. a. Construct a table that describes the motion of the object, particularly the intervals of time when the particle is moving to the left or to the right, when the velocity is increasing or decreasing, and when the speed is increasing or decreasing. b. Find the total distance traveled by the object during the first 3 seconds.
Transcribed Image Text:3. An object moves along a horizontal line according the equation of motion given by s(t) = 6-15t +9t²-t³, where s is in meters and t is in seconds. a. Construct a table that describes the motion of the object, particularly the intervals of time when the particle is moving to the left or to the right, when the velocity is increasing or decreasing, and when the speed is increasing or decreasing. b. Find the total distance traveled by the object during the first 3 seconds.
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