The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t≥ 0. Part A: Find the velocity and acceleration functions. Part B: Describe where the particle changes direction and the intervals where the particle speeds up or slows down.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² − 8t + 3 for t ≥ 0.
Part A: Find the velocity and acceleration functions.
Part B: Describe where the particle changes direction and the intervals where the particle speeds up or slows down.
Transcribed Image Text:The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² − 8t + 3 for t ≥ 0. Part A: Find the velocity and acceleration functions. Part B: Describe where the particle changes direction and the intervals where the particle speeds up or slows down.
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