he position of a particle is determined by the vector-valued function r(t)=<1-t^2, 3t, t^3>. Find the decomposition of the acceleration vector in terms of its tangential and normal components when the particle is at the point (0,3, 1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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The position of a particle is determined by the vector-valued function r(t)=<1-t^2, 3t, t^3>. Find the decomposition of the acceleration vector in terms of its tangential and normal components when the particle is at the point (0,3, 1).

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