The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(18t — sin(18t))i + 4(1 − cos(18t))j Find the velocity vector of the point. v(t) = = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 29E
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The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector
function
r(t) = 4(18t – sin(18t))i + 4(1 − cos(18t))
Find the velocity vector of the point.
v(t)
=
Find the acceleration vector of the point.
a(t) =
Find the speed of the point.
s(t)
Transcribed Image Text:The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(18t – sin(18t))i + 4(1 − cos(18t)) Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t)
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