A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is measured in seconds. Find the time when the particle’s velocity and acceleration are equal.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is measured in seconds. Find the time when the particle’s velocity and acceleration are equal.

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