4. At time t> 0, the position of a body moving along the horizontal s-axis is s(t) = t3 - 6t2 + 9t m. (a) Find the body's accelcration cach time the velocity is zero. (b) When is the body moving forward? Backward? (c) When is the body's velocity increasing? Decreasing? (d) Find the total distance traveled by the body fromt 0 to t = 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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4. At time t > 0, the position of a body moving along the horizontal s-axis is s(t) =
t3 - 6t2 +9t m.
(a) Find the body's acceleration cach timc the velocity is zero.
(b) When is the body moving forward? Backward?
(c) When is the body's velocity increasing? Decreasing?
(d) Find thc total distance traveled by the body from t = 0 tot=2.
Transcribed Image Text:4. At time t > 0, the position of a body moving along the horizontal s-axis is s(t) = t3 - 6t2 +9t m. (a) Find the body's acceleration cach timc the velocity is zero. (b) When is the body moving forward? Backward? (c) When is the body's velocity increasing? Decreasing? (d) Find thc total distance traveled by the body from t = 0 tot=2.
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