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)?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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