Suppose the position of a particle in motion at time t is given by the vector parametric equation r(t) = (4(t − 3)², 4, 2t³ — 9t²). (a) Find the velocity of the particle at time t. (t) = (b) Find the speed of the particle at time t. Speed= (c) Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated liet

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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Suppose the position of a particle in motion at time t is given by the vector parametric equation r(t)
(a) Find the velocity of the particle at time t.
v(t) =
(b) Find the speed of the particle at time t.
Speed =
= (4(t – 3)², 4, 2t³ — 9t²).
=
(c) Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated
list.
t =
Transcribed Image Text:Suppose the position of a particle in motion at time t is given by the vector parametric equation r(t) (a) Find the velocity of the particle at time t. v(t) = (b) Find the speed of the particle at time t. Speed = = (4(t – 3)², 4, 2t³ — 9t²). = (c) Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated list. t =
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