The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the velocity function v(t) of the particde any time t2 0. v(t) = (b) Identify the time interval(s) in which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval(s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.)

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) desaribes the motion of a particle along a line.
s(t) = - 14t + 21
(a) Find the velocity function v(t) of the particle at any time t > 0.
v(t) =
(b) Identify the time interval (s) in which the particle is moving in a positive direction. (Enter your answer using interval notation.)
(c) Identify the time interval (s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.)
(d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.)
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Transcribed Image Text:The function s(t) desaribes the motion of a particle along a line. s(t) = - 14t + 21 (a) Find the velocity function v(t) of the particle at any time t > 0. v(t) = (b) Identify the time interval (s) in which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval (s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.) Submit Answer
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