The equation r(t) = (2 sin t) i + (5 cos t)j + (2t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=2x as a product of its speed and direction.

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 equation r(t) = (2 sin t) i + (5 cos t)j + (2t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at
t=2x as a product of its speed and direction.
C
Transcribed Image Text:The equation r(t) = (2 sin t) i + (5 cos t)j + (2t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=2x as a product of its speed and direction. C
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