Consider the following trajectory of a moving object. Find the tangential and normal components of the acceleration. r(t) = (10e¹ sint, 10e* cost, 10e¹) Find the tangential component of the acceleration. a = (Type an exact answer, using radicals as needed.) Find the normal component of the acceleration. an (Type an exact answer, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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Complete both parts

Consider the following trajectory of a moving object. Find the tangential
and normal components of the acceleration.
r(t) = (10e sin t, 10e* cost, 10e¹)
Find the tangential component of the acceleration.
a =
(Type an exact answer, using radicals as needed.)
Find the normal component of the acceleration.
an
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Consider the following trajectory of a moving object. Find the tangential and normal components of the acceleration. r(t) = (10e sin t, 10e* cost, 10e¹) Find the tangential component of the acceleration. a = (Type an exact answer, using radicals as needed.) Find the normal component of the acceleration. an (Type an exact answer, using radicals as needed.)
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