4. A particle with acceleration a(t) = − (t − 2)² + 1 m/s² is traveling in a straight line. If it has reached a velocity of 3 m/s by the time the first second has passed - at that moment, how far is it from where it will be 5 seconds later (assume the particle's position at t = 0 is 0)?

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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4. A particle with acceleration a(t) = − (t − 2)² + 1 m/s² is traveling in a straight line. If
it has reached a velocity of 3 m/s by the time the first second has passed - at that
moment, how far is it from where it will be 5 seconds later (assume the particle's
position at t = 0 is 0)?
Transcribed Image Text:4. A particle with acceleration a(t) = − (t − 2)² + 1 m/s² is traveling in a straight line. If it has reached a velocity of 3 m/s by the time the first second has passed - at that moment, how far is it from where it will be 5 seconds later (assume the particle's position at t = 0 is 0)?
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