A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac- celeration functions, a(t) for t >0 are: s(t) = t3 - 6t2 +9t, v(t) = 3t2 – 12t+9, a(t) = 6t – 12. (a) Determine when the particle is moving to the left. (b) When is the particle speeding up?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-
celeration functions, a(t) for t > 0 are: s(t) = t3 -6t2+9t, v(t) = 3t2 – 12t +9, a(t) = 6t – 12.
(a) Determine when the particle is moving to the left.
(b) When is the particle speeding up?
Transcribed Image Text:(28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac- celeration functions, a(t) for t > 0 are: s(t) = t3 -6t2+9t, v(t) = 3t2 – 12t +9, a(t) = 6t – 12. (a) Determine when the particle is moving to the left. (b) When is the particle speeding up?
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