The figure shows the path of a particle modeled by the vector-valued function r(t) = (t -

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The figure shows the path of a particle modeled by the vector-valued function r(t) = (πt - sin πt, 1 - cos πt).


The figure also shows the vectors v(t)/∥v(t)∥ and a(t)/∥a(t)∥ at the indicated values of t.


(a) Find aT and aN at t = 1/2, t = 1, and t = 3/2.


(b) Determine whether the speed of the particle is increasing or decreasing at each of the indicated values of t. Give reasons for your answers.


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Related Book For  answer-question

Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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