s(t)=²-3t²+2t (a) Find the velocity function of the particle at any time t 2 0. v()-21-61 (b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.) x (c) Identify the time intervals 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.) tH Need Help? Read

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The function s(t) describes the motion of a particle along a line.
s(t)=²-31²+2t
(a) Find the velocity function of the particle at any time t 2 0.
v(t)-21-6t
x
(b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.)
(c) Identify the time intervals 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.)
to
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Transcribed Image Text:The function s(t) describes the motion of a particle along a line. s(t)=²-31²+2t (a) Find the velocity function of the particle at any time t 2 0. v(t)-21-6t x (b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time intervals 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.) to Need Help? Read
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