The equation of motion of a particle is s = 2t³ - 9t² + 4t +4, where s is in meters and t is in seconds. (Assume t≥ 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s² (c) Graph the position, velocity, and acceleration functions on the same screen. S S 15 10 5 -5 -10 -15 S 20 15 10 5 -5 -10 -15 2 a 3 S V 15 10 5 -5 -10 -15 O 20 15 10 5 -5 -10 -15 v 3
The equation of motion of a particle is s = 2t³ - 9t² + 4t +4, where s is in meters and t is in seconds. (Assume t≥ 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s² (c) Graph the position, velocity, and acceleration functions on the same screen. S S 15 10 5 -5 -10 -15 S 20 15 10 5 -5 -10 -15 2 a 3 S V 15 10 5 -5 -10 -15 O 20 15 10 5 -5 -10 -15 v 3
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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Transcribed Image Text:The equation of motion of a particle is s =
= 2t³ - 9t² + 4t + 4, where s is in meters and t is in seconds. (Assume t ≥ 0.)
(a) Find the velocity and acceleration as functions of t.
v(t) =
a(t)
=
(b) Find the acceleration after 1 s.
a(1) =
m/s²
(c) Graph the position, velocity, and acceleration functions on the same screen.
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20
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Ap A
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a 3
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-5
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