A particle moves along a straight line and its position at time t is given by s(t) = 2t3 – 24t? + 90t where s is measured in feet and t in seconds. Find the velocity (in ft/sec) of the particle at time t = 0: The particle stops moving (i.e. is in a rest) twice, first when t and again when t = What is the position of the particle at time 16? Finally, what is the TOTAL distance the particle travels between time 0 and time 16?

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 along a straight line and its
position at time t is given by
s(t) = 2t3 –
24t? + 90t where s is measured in
feet and t in seconds.
Find the velocity (in ft/sec) of the particle at
time t =
0:
The particle stops moving (i.e. is in a rest) twice,
first when t
and again when t =
What is the position of the particle at time 16?
Finally, what is the TOTAL distance the particle
travels between time 0 and time 16?
Transcribed Image Text:A particle moves along a straight line and its position at time t is given by s(t) = 2t3 – 24t? + 90t where s is measured in feet and t in seconds. Find the velocity (in ft/sec) of the particle at time t = 0: The particle stops moving (i.e. is in a rest) twice, first when t and again when t = What is the position of the particle at time 16? Finally, what is the TOTAL distance the particle travels between time 0 and time 16?
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