9. At time t= 0 a particle is at the origin. It then begins moving along the positive x- axis so that its velocity t seconds later is given by the function v(t)=x²-4x+3. a. Find the position of the particle 4 seconds after it begins moving. b. Find the total distance traveled by the particle after 4 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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9.
At time t = 0 a particle is at the origin. It then begins moving along the positive x-
axis so that its velocity t seconds later is given by the function v(t)=x² - 4x +3.
a. Find the position of the particle 4 seconds after it begins moving.
b. Find the total distance traveled by the particle after 4 seconds.
Transcribed Image Text:9. At time t = 0 a particle is at the origin. It then begins moving along the positive x- axis so that its velocity t seconds later is given by the function v(t)=x² - 4x +3. a. Find the position of the particle 4 seconds after it begins moving. b. Find the total distance traveled by the particle after 4 seconds.
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