The equation of motion of a particle is s = t3 - 27t, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 3 s. |m/s² (c) Find the acceleration when the velocity is 0. m/s2
The equation of motion of a particle is s = t3 - 27t, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 3 s. |m/s² (c) Find the acceleration when the velocity is 0. m/s2
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 = t3 - 27t, where s is in meters and t is in seconds. (Assume t 2 0.)
(a) Find the velocity and acceleration as functions of t.
v(t) =
a(t) =
(b) Find the acceleration after 3 s.
m/s2
(c) Find the acceleration when the velocity is 0.
m/s?
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