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If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a horizontal line. Determine the time intervals when the object is slowing down or speeding up from the velocity and acceleration functions. O speeding up in (0,0.5) U (2, ∞)and slowing down in (6,∞) speeding up in (0,0.5) (2,00) and slowing down in (0.5, 2) speeding up in (0,0.5) U (2, ∞) and slowing down in (0.5, ∞) speeding up in (0,0.5) U (2,6)and slowing down in (0.5,2) speeding up in (0,0.5) U (2, ∞o) and slowing down in (0.5, 2)

If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a horizontal line. Determine the time intervals when the object is slowing down or speeding up from the velocity and acceleration functions. O speeding up in (0,0.5) U (2, ∞)and slowing down in (6,∞) speeding up in (0,0.5) (2,00) and slowing down in (0.5, 2) speeding up in (0,0.5) U (2, ∞) and slowing down in (0.5, ∞) speeding up in (0,0.5) U (2,6)and slowing down in (0.5,2) speeding up in (0,0.5) U (2, ∞o) and slowing down in (0.5, 2)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a horizontal line. Determine the time intervals when the object is slowing down or speeding up from the velocity and acceleration functions. speeding up O speeding up in in (0,0.5) U (2, ∞)and slowing down in (6,∞0) (0,0.5) (2, ∞o)and slowing down in (0.5,2) speeding up in (0,0.5) U (2, ∞o)and slowing down in (0.5, ∞) speeding up in (0,0.5) U (2,6)and slowing down in (0.5,2) speeding up in (0,0.5) U (2, ∞o) and slowing down in (0.5, 2)
Transcribed Image Text:If s(t) = 6t³ - 9t² - 36t+6, where t≥ 0 represent the position of a particle traveling along a horizontal line. Determine the time intervals when the object is slowing down or speeding up from the velocity and acceleration functions. speeding up O speeding up in in (0,0.5) U (2, ∞)and slowing down in (6,∞0) (0,0.5) (2, ∞o)and slowing down in (0.5,2) speeding up in (0,0.5) U (2, ∞o)and slowing down in (0.5, ∞) speeding up in (0,0.5) U (2,6)and slowing down in (0.5,2) speeding up in (0,0.5) U (2, ∞o) and slowing down in (0.5, 2)
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