П The path r(t) = (2 cos t) i + (2 sin t) j describes motion on the circle x² + y² = 4. Find the particle's velocity and acceleration vectors at t= (7)= (Type exact answers, using radicals as needed.) π The velocity vector at t= is v | = (₁ + () ₁₁ C K and and sketch them as vectors on the curve. 3¹

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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П
The path r(t) = (2 cos t) i + (2 sin t) j describes motion on the circle x² + y² = 4. Find the particle's velocity and acceleration vectors at t=
(17)=
(Type exact answers, using radicals as needed.)
π
The velocity vector at t= is v
= (₁+₁
-C
and
K
and sketch them as vectors on the curve.
3₁
Transcribed Image Text:П The path r(t) = (2 cos t) i + (2 sin t) j describes motion on the circle x² + y² = 4. Find the particle's velocity and acceleration vectors at t= (17)= (Type exact answers, using radicals as needed.) π The velocity vector at t= is v = (₁+₁ -C and K and sketch them as vectors on the curve. 3₁
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