If s(t) – 24 – 3tť² – 12t + 6, 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. %3D O speeding up in (-00,0.5)U (2, 00)and slowing down in (6, 00) O speeding up in (-00, 0.5) U (2, 6)and slowing down in (0.5, 2) O speeding up in (-00, 0.5) U (2, 00)and slowing down in (0.5, o0) O speeding up in (-00, 0.5) n (2, 00)and slowing down in (0.5, 2) O speeding up in (-00,0.5)U (2, 00) and slowing down in (0.5, 2)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 34CT: The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model...
icon
Related questions
Question
100%
If s(t) = 2t³ – 3t² – 12t + 6, 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.
%3D
O speeding up in (-00,0.5) U (2, 00)and slowing down in (6, 00)
O speeding up in (-00, 0.5) U (2, 6)and slowing down in (0.5, 2)
O speeding up in (-00, 0.5) U (2, 00)and slowing down in (0.5, 00)
O speeding up in (-00, 0.5) n (2, 00)and slowing down in (0.5, 2)
O speeding up in (-00,0.5)U (2, 00) and slowing down in (0.5, 2)
Transcribed Image Text:If s(t) = 2t³ – 3t² – 12t + 6, 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. %3D O speeding up in (-00,0.5) U (2, 00)and slowing down in (6, 00) O speeding up in (-00, 0.5) U (2, 6)and slowing down in (0.5, 2) O speeding up in (-00, 0.5) U (2, 00)and slowing down in (0.5, 00) O speeding up in (-00, 0.5) n (2, 00)and slowing down in (0.5, 2) O speeding up in (-00,0.5)U (2, 00) and slowing down in (0.5, 2)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning