car seems to be moving along a horizontal path. The position of the car from the origin after t minutes of travel is measured to be: s(t) = 2t3 − 27t2 + 84t + 25 Find the acceleration of the car at all instances when it changed direction, and determine the intervals of time when the car sped up.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
Problem 62CR
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A car seems to be moving along a horizontal path. The position of the car from the origin after t minutes of travel is measured to be:

  • s(t) = 2t− 27t2 + 84t + 25

Find the acceleration of the car at all instances when it changed direction, and determine the intervals of time when the car sped up.

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