The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t² - 5t + 5 (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) = (b) Identify the time interval when the particle is moving in a positive direction. -5) 0 (-5/12,00) 0 (0, 1/2) -00, 0 (-∞, -1/2) 0 (-1,00) (c) Identify the time interval when the particle is moving in a negative direction. -00, 0 (-1/1,00) 0 (0, 2) O -00, 0 (1, 0) (d) Identify the time when the particle changes its direction. 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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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The function s(t) describes the motion of a particle along a line, for any time t≥ 0.
s(t) = t² - 5t + 5
(a) Find the velocity function v(t) of the particle at any time t≥ 0.
v(t) =
(b) Identify the time interval when the particle is moving in a positive direction.
(-∞, - -/-)
0 (-1/1/₁00)
(0,5/-)
0 (-00, // )
0 (5/₁0)
O
(c) Identify the time interval when the particle is moving in a negative direction.
0 (-*, - -/-)
O
0 (-5,00)
(0,5/-)
0 (-∞, -/-)
들)
0 (2,00)
O
(d) Identify the time when the particle changes its direction.
t =
Transcribed Image Text:The function s(t) describes the motion of a particle along a line, for any time t≥ 0. s(t) = t² - 5t + 5 (a) Find the velocity function v(t) of the particle at any time t≥ 0. v(t) = (b) Identify the time interval when the particle is moving in a positive direction. (-∞, - -/-) 0 (-1/1/₁00) (0,5/-) 0 (-00, // ) 0 (5/₁0) O (c) Identify the time interval when the particle is moving in a negative direction. 0 (-*, - -/-) O 0 (-5,00) (0,5/-) 0 (-∞, -/-) 들) 0 (2,00) O (d) Identify the time when the particle changes its direction. t =
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