Find the velocity, acceleration, and speed of a particle with position function r(t) = (-2t sin(t), -2t cos(t), 5t²) v(t) = -2 sin (t) - 2t cos (t) 2t sin(t) - 2 cos(t). 10t) 2t sin (t) - 4 cos (t) 4 sin(t) + 2t cos(t) 10 ) a(t) |v(t) = 2√/27 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Find the velocity, acceleration, and speed of a particle with position function
r(t) = (-2t sin(t), -2t cos(t), 5t²)
v(t) = -2 sin (t) - 2t cos (t)
2t sin(t) - 2 cos(t). 10t)
2t sin (t) - 4 cos (t) 4 sin(t) + 2t cos(t) 10 )
a(t)
|v(t) = 2√/27
=
Transcribed Image Text:Find the velocity, acceleration, and speed of a particle with position function r(t) = (-2t sin(t), -2t cos(t), 5t²) v(t) = -2 sin (t) - 2t cos (t) 2t sin(t) - 2 cos(t). 10t) 2t sin (t) - 4 cos (t) 4 sin(t) + 2t cos(t) 10 ) a(t) |v(t) = 2√/27 =
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