The function s(t) describes the motion of a particle along a line. s(t) = 35² + 3t - 210 (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) in 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.) t =
The function s(t) describes the motion of a particle along a line. s(t) = 35² + 3t - 210 (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) in 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.) t =
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
Section: Chapter Questions
Problem 34SBE: A Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before...
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![The function s(t) describes the motion of a particle along a line.
s(t) = 3³5²2² + 3t - 210
(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) in 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.)
t =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F466923f0-6f55-4935-bc1a-e5c184127f99%2F242a1fcc-6f54-4a14-b751-7880d04f9ac9%2Fxaasak9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function s(t) describes the motion of a particle along a line.
s(t) = 3³5²2² + 3t - 210
(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) in 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.)
t =
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