The position of a particle is determined by the vector-valued function r(t) = (1-2,34, 1³). Find the decomposition of the acceleration vector in terms of its tangential and normal components, a(t) arT+aNN when the particle is at the point (0,3, 1). In other words, find the tangential vector ar arT and the normal vect.or an = aNN.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The position of a particle is determined by the vector-valued function r(t) = (1-2,3t, 1³). Find the
decomposition of the acceleration vector in terms of its tangential and normal components, a(t) = arT+aNN when
the particle is at the point (0, 3, 1). In other words, find the tangential vector ar=arT and the normal vector
aN = aNN.
Transcribed Image Text:The position of a particle is determined by the vector-valued function r(t) = (1-2,3t, 1³). Find the decomposition of the acceleration vector in terms of its tangential and normal components, a(t) = arT+aNN when the particle is at the point (0, 3, 1). In other words, find the tangential vector ar=arT and the normal vector aN = aNN.
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