Suppose the position of a particle, s(t) is given by s(t) = t²8t+19 feet, where t is time in seconds. (a) Find the velocity function at time t. s'(t) = v(t) = (b) What is the velocity after 4 seconds with correct units? ---Select--- (c) Find all value(s) of t (with correct units) for which the particle is at rest (i.e., where v(t) = 0). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = ---Select---

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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Suppose
the position of a particle, s(t) is given by s(t) = t² - 8t + 19 feet, where t is time in seconds.
(a) Find the velocity function at time t.
s'(t) = v(t) =
(b) What is the velocity after 4 seconds with correct units?
---Select---
(c) Find all value(s) of t (with correct units) for which the particle is at rest (i.e., where v(t) = 0). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
t =
---Select---
Transcribed Image Text:Suppose the position of a particle, s(t) is given by s(t) = t² - 8t + 19 feet, where t is time in seconds. (a) Find the velocity function at time t. s'(t) = v(t) = (b) What is the velocity after 4 seconds with correct units? ---Select--- (c) Find all value(s) of t (with correct units) for which the particle is at rest (i.e., where v(t) = 0). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = ---Select---
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