Particle motion At time t, the position of a body moving along the s-axis is s = t³ - 6t² +9t m. (a) Find the body's acceleration each time the velocity is zero. (b) Find the body's speed each time the acceleration is zero. (c) Find the total distance traveled by the body from t = 0 tot = 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Particle motion At time t, the position of a body moving
along the s-axis is s = t3 - 6t2 + 9t m.
(a) Find the body's acceleration each time the velocity is zero.
(b) Find the body's speed each time the acceleration is zero.
(c) Find the total distance traveled by the body from t = 0 to t = 2.
Transcribed Image Text:Particle motion At time t, the position of a body moving along the s-axis is s = t3 - 6t2 + 9t m. (a) Find the body's acceleration each time the velocity is zero. (b) Find the body's speed each time the acceleration is zero. (c) Find the total distance traveled by the body from t = 0 to t = 2.
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