Л The path r(t) = (6 sin t) i + (6 cos t) j describes motion on the circle x² + y² = 36. Find the particle's velocity and acceleration vectors at t = and and sketch them as vectors on the curve. 3 4' = {√ is v√( 3 ) = ₁ + ₁. 3 The velocity vector at t = (Type exact answers, using radicals as needed.)
Л The path r(t) = (6 sin t) i + (6 cos t) j describes motion on the circle x² + y² = 36. Find the particle's velocity and acceleration vectors at t = and and sketch them as vectors on the curve. 3 4' = {√ is v√( 3 ) = ₁ + ₁. 3 The velocity vector at t = (Type exact answers, using radicals as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:Л
The path r(t) = (6 sin t) i + (6 cos t) j describes motion on the circle x² + y² = 36. Find the particle's velocity and acceleration vectors at t = and
and sketch them as vectors on the curve.
3
4'
= {√ is v√( 3 ) = ₁ + ₁.
3
The velocity vector at t =
(Type exact answers, using radicals as needed.)
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