3x The equation r(t) = (3 cos t)i + (5 sin t) j+(3t) 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= as a product of its speed and direction.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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The equation r(t) = (3 cos t)i + (5 sin t) j+(3t) 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= as a product of its speed and direction.
Transcribed Image Text:3x The equation r(t) = (3 cos t)i + (5 sin t) j+(3t) 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= as a product of its speed and direction.
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