A charged particle begins at rest at the origin. Suddenly, a force causes the particle to accelerate according to the vector function a(t) = ⟨ sin(t) , 6t , 2cos(t)⟩ Find functions for the velocity, speed and position of the particle at time t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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A charged particle begins at rest at the origin. Suddenly, a force causes the particle
to accelerate according to the vector function a(t) = ⟨ sin(t) , 6t , 2cos(t)⟩
Find functions for the velocity, speed and position of the particle at time t

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