The position of a particle is given by the equation s = f(t) = t3 − 6t2 + 9t, where t is in seconds and s is in meters. a.) When is the particle moving forward? b.) When is the particle moving backwards? c.) Draw a diagram to represent the motion of the particle. d.) Find the total distance traveled by the particle during the first 5 seconds. Be sure to think of distance as absolute value. You’ll need to break the interval up into parts depending on direction.
The position of a particle is given by the equation s = f(t) = t3 − 6t2 + 9t, where t is in seconds and s is in meters. a.) When is the particle moving forward? b.) When is the particle moving backwards? c.) Draw a diagram to represent the motion of the particle. d.) Find the total distance traveled by the particle during the first 5 seconds. Be sure to think of distance as absolute value. You’ll need to break the interval up into parts depending on direction.
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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The position of a particle is given by the equation s = f(t) = t3 − 6t2 + 9t, where t is in seconds and s is in meters.
a.) When is the particle moving forward?
b.) When is the particle moving backwards?
c.) Draw a diagram to represent the motion of the particle.
d.) Find the total distance traveled by the particle during the first 5 seconds. Be sure to think of distance as absolute value. You’ll need to break the interval up into parts depending on direction.
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