A particle moving along a line has velocity in feet per second: v(t) = t – 2t – 8, 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...
Question
A particle moving along a line has velocity in feet per second:
v(t) = t² – 2t – 8, 0<t< 8.
-
o Find the net displacement of the particle during its motion.
o Find when the particle is moving forward and when it is
moving backwards.
o Find the total distance travelled by the particle from time 0
seconds to time 8 seconds.
Transcribed Image Text:A particle moving along a line has velocity in feet per second: v(t) = t² – 2t – 8, 0<t< 8. - o Find the net displacement of the particle during its motion. o Find when the particle is moving forward and when it is moving backwards. o Find the total distance travelled by the particle from time 0 seconds to time 8 seconds.
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