1. A particle moves along a vertical coordinate axis so that its position at any time t20 is given by the function s(r) = r' – 6r² +9t + 5, where s is measured in centimeters and t is measured in seconds. (e) Describe the motion of the particle for t20. Answer the following questions with justification: • When is the particle moving up? • When is the particle moving down? • When is the particle at rest? • When is the particle speeding up? • When is the particle slowing down? . because because because because because • Find the particle's acceleration each time the velocity is zero. • Find the total distance traveled by the particle from 0 to 3 seconds.

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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1. A particle moves along a vertical coordinate axis so that its position at any time t20 is given by the
function s() =r' - 6r² + 9t + 5, where s is measured in centimeters and t is measured in seconds.
(e) Describe the motion of the particle for t20. Answer the following questions with justification:
• When is the particle moving up?
• When is the particle moving down?.
• When is the particle at rest?
• When is the particle speeding up?
• When is the particle slowing down?
because
because
because
because
because
• Find the particle's acceleration each time the velocity is zero.
• Find the total distance traveled by the particle from 0 to 3 seconds.
Transcribed Image Text:1. A particle moves along a vertical coordinate axis so that its position at any time t20 is given by the function s() =r' - 6r² + 9t + 5, where s is measured in centimeters and t is measured in seconds. (e) Describe the motion of the particle for t20. Answer the following questions with justification: • When is the particle moving up? • When is the particle moving down?. • When is the particle at rest? • When is the particle speeding up? • When is the particle slowing down? because because because because because • Find the particle's acceleration each time the velocity is zero. • Find the total distance traveled by the particle from 0 to 3 seconds.
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