The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function r(t) = 5(12t - sin(12t))2 +5(1-cos(12t))) Find the velocity vector of the point. v(t) = 60(1- cos (12t)i + sin(12t)j) × Find the acceleration vector of the point. ä(t) = 720(sin(12t)i + cos (12t)j) Find the speed of the point. s(t) 120 sin (6t) (Write i, j, k for 2, 3, K.) X

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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The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector
function
F(t) = 5(12t - sin(12t))? +5(1 cos(12t)))
Find the velocity vector of the point.
(t) = 60(1- cos (12t)i + sin(12t)j) ×
Find the acceleration vector of the point.
ä(t) = 720(sin(12t)i + cos (12t)j) ✓
Find the speed of the point.
s(t) = 120 sin (6t)
(Write i, j, k for 2,5, k.)
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Transcribed Image Text:The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function F(t) = 5(12t - sin(12t))? +5(1 cos(12t))) Find the velocity vector of the point. (t) = 60(1- cos (12t)i + sin(12t)j) × Find the acceleration vector of the point. ä(t) = 720(sin(12t)i + cos (12t)j) ✓ Find the speed of the point. s(t) = 120 sin (6t) (Write i, j, k for 2,5, k.) Submit Question
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