The position of a particle is given by: s = f(t) = t³-12t²+36t, 2. where t is measured in seconds and s in meters. (1) Find the velocity at time t. (2) What is the velocity after 3s? (3) When is the particle at rest?
The position of a particle is given by: s = f(t) = t³-12t²+36t, 2. where t is measured in seconds and s in meters. (1) Find the velocity at time t. (2) What is the velocity after 3s? (3) When is the particle at rest?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:The position of a particle is given by: s = f(t) = t³-12t²+36t,
2.
where t is measured in seconds and s in meters.
(1) Find the velocity at time t.
(2) What is the velocity after 3s?
(3) When is the particle at rest?
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