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3. A particle moves along thex-axis with velocity v(t) = -(t – 2)? + 1 %3D for 0

3. A particle moves along thex-axis with velocity v(t) = -(t – 2)? + 1 %3D for 0

Calculus: Early Transcendentals
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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3. A particle moves along the x-axis with velocity v(t) = -(t – 2)? +1 for 0 <t < 5. Assume that the particle is at the origin at time 0. (a) Graph v(t) as a function of t. (b) Use the graph of v(t) to determine when the particle moves to the left and when it moves to the right. (c) Find the location s(t) of the particle at time t for 0 <t < 5. Give a geometric interpretation of s(t) in terms of the graph of v(t).
Transcribed Image Text:3. A particle moves along the x-axis with velocity v(t) = -(t – 2)? +1 for 0 <t < 5. Assume that the particle is at the origin at time 0. (a) Graph v(t) as a function of t. (b) Use the graph of v(t) to determine when the particle moves to the left and when it moves to the right. (c) Find the location s(t) of the particle at time t for 0 <t < 5. Give a geometric interpretation of s(t) in terms of the graph of v(t).
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