The function s(t) describes the motion of a particle along a line. s(t) = 12t-t² (a) Find the velocity function v(t) of the particle at any time t > 0. v(t) = (b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time at which the particle changes direction. t=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The function s(t) describes the motion of a particle along a line.
s(t) = 12tt²
(a) Find the velocity function v(t) of the particle at any time t≥ 0.
v(t) =
(b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.)
(c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.)
(d) Identify the time at which the particle changes direction.
t =
>
Transcribed Image Text:The function s(t) describes the motion of a particle along a line. s(t) = 12tt² (a) Find the velocity function v(t) of the particle at any time t≥ 0. v(t) = (b) Identify the time interval on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time interval on which the particle is moving in a negative direction. (Enter your answer using interval notation.) (d) Identify the time at which the particle changes direction. t = >
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