If s(t) = 4t3 – 6ť² – 24t + 8, 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 in (-∞,0.5) U (2, 8)and slowing down in (0.5, 2) speeding up in (-0, 0.5) U (2, 0) and slowing down in (0.5, 2) speeding up in (-∞0, 0.5) U (2, 0)and slowing down in (8, 0) speeding up in (-∞, 0.5) U (2, ∞0)and slowing down in (0.5, 0) speeding up in (-∞0, 0.5) N (2, 0)and slowing down in (0.5, 2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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If s(t) = 4t3 – 6t² – 24t + 8, 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 in (-∞,0.5) U (2, 8)and slowing down in (0.5, 2)
speeding up in (-∞,0.5) U (2, 0) and slowing down in (0.5, 2)
O speeding up in (-x,0.5) U (2, )and slowing down in (8, )
O speeding up in (-0, 0.5) U (2, 0)and slowing down in (0.5, o0)
O speeding up in (-∞,0.5) n (2, o)and slowing down in (0.5, 2)
Transcribed Image Text:If s(t) = 4t3 – 6t² – 24t + 8, 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 in (-∞,0.5) U (2, 8)and slowing down in (0.5, 2) speeding up in (-∞,0.5) U (2, 0) and slowing down in (0.5, 2) O speeding up in (-x,0.5) U (2, )and slowing down in (8, ) O speeding up in (-0, 0.5) U (2, 0)and slowing down in (0.5, o0) O speeding up in (-∞,0.5) n (2, o)and slowing down in (0.5, 2)
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