2. A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t? – 24t+36, where t >0 is in seconds, and v is in ft/s. a. Is the particle speeding up or slowing down at t = 5? E Answer this one

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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This is not a physics problem, so please dont answer this via physics. Answer this in a calculus way.

2. A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t2 – 24t +36,
where t >0 is in seconds, and v is in ft/s.
a. Is the particle speeding up or slowing down at t = 5?
- Answer this one
b. If the particle is found 4 ft to the left of the origin at the instant that it first changes
direction, determine its position function.
Transcribed Image Text:2. A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t2 – 24t +36, where t >0 is in seconds, and v is in ft/s. a. Is the particle speeding up or slowing down at t = 5? - Answer this one b. If the particle is found 4 ft to the left of the origin at the instant that it first changes direction, determine its position function.
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