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The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) = 0 (b) Identify the time interval in which the particle is moving in a positive direction. (0, 0) O (0,7) O (0, 14) O (14,00) O (7, ∞) None X (c) Identify the time interval in which the particle is moving in a negative direction. (0, 0) O (0,7) (0, 14) O (14,00) (7,00) None (d) Identify the time at which the particle changes direction. t = 0 X

The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) = 0 (b) Identify the time interval in which the particle is moving in a positive direction. (0, 0) O (0,7) O (0, 14) O (14,00) O (7, ∞) None X (c) Identify the time interval in which the particle is moving in a negative direction. (0, 0) O (0,7) (0, 14) O (14,00) (7,00) None (d) Identify the time at which the particle changes direction. t = 0 X

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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The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) = 0 (b) Identify the time interval in which the particle is moving in a positive direction. (0, 0) O (0,7) O (0, 14) O (14,00) O (7, ∞0) None X (c) Identify the time interval in which the particle is moving in a negative direction. (0, ∞) O (0,7) O (0, 14) O (14,00) (7,00) None (d) Identify the time at which the particle changes direction. t = 0 X
Transcribed Image Text:The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) = 0 (b) Identify the time interval in which the particle is moving in a positive direction. (0, 0) O (0,7) O (0, 14) O (14,00) O (7, ∞0) None X (c) Identify the time interval in which the particle is moving in a negative direction. (0, ∞) O (0,7) O (0, 14) O (14,00) (7,00) None (d) Identify the time at which the particle changes direction. t = 0 X
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