A particle moves on a horizontal line so that its coordinate in feet at time t seconds is given. f(t) = 2t ^ 3 - 18t ^ 2 + 48t Find the velocity and acceleration functions. When is the particle moving in the positive direction and when is it moving in the negative direction? Find the distance that the particle travels in the time interval 0 ≤ t ≤ 5 . When is the particle speeding up? When is it slowing down?
A particle moves on a horizontal line so that its coordinate in feet at time t seconds is given. f(t) = 2t ^ 3 - 18t ^ 2 + 48t Find the velocity and acceleration functions. When is the particle moving in the positive direction and when is it moving in the negative direction? Find the distance that the particle travels in the time interval 0 ≤ t ≤ 5 . When is the particle speeding up? When is it slowing down?
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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A particle moves on a horizontal line so that its coordinate in feet at time t seconds is given.
f(t) = 2t ^ 3 - 18t ^ 2 + 48t
Find the velocity and acceleration functions.
When is the particle moving in the positive direction and when is it moving in the negative direction?
Find the distance that the particle travels in the time interval 0 ≤ t ≤ 5 .
When is the particle speeding up? When is it slowing down?
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