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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) = 2t - 5 (b) Identify the time interval when the particle is moving in a positive direction. (-∞, -/-) 0 (-5/1,00) 0 (0, 1/2) 0 (-0,²) N/U₁ (c) Identify the time interval when the particle is moving in a negative direction. (-∞, -/-) 0 (-1/2, 0) • (0, 2) 0 (-∞, -/-) 0 (5,00) (d) Identify the time when the particle changes its direction. t = 52 X

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) = 2t - 5 (b) Identify the time interval when the particle is moving in a positive direction. (-∞, -/-) 0 (-5/1,00) 0 (0, 1/2) 0 (-0,²) N/U₁ (c) Identify the time interval when the particle is moving in a negative direction. (-∞, -/-) 0 (-1/2, 0) • (0, 2) 0 (-∞, -/-) 0 (5,00) (d) Identify the time when the particle changes its direction. t = 52 X

Calculus: Early Transcendentals
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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Question
The function s(t) describes the motion of a particle along a line, for any time t≥ 0. = t²5t + 5 s(t) (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) 2t - 5 (b) Identify the time interval when the particle is moving in a positive direction. 0 (-∞, - -5/2-) 0 (- 5,00) 0 ½) (0, -1/2-) 0 (-0,2) (c) Identify the time interval when the particle is moving in a negative direction. 0 (-∞, - -//-) 0 (-1,00) • (0,5) 0 (-0,1/-) (-5/7,00) (d) Identify the time when the particle changes its direction. t = 52 X
Transcribed Image Text:The function s(t) describes the motion of a particle along a line, for any time t≥ 0. = t²5t + 5 s(t) (a) Find the velocity function v(t) of the particle at any time t ≥ 0. v(t) 2t - 5 (b) Identify the time interval when the particle is moving in a positive direction. 0 (-∞, - -5/2-) 0 (- 5,00) 0 ½) (0, -1/2-) 0 (-0,2) (c) Identify the time interval when the particle is moving in a negative direction. 0 (-∞, - -//-) 0 (-1,00) • (0,5) 0 (-0,1/-) (-5/7,00) (d) Identify the time when the particle changes its direction. t = 52 X
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