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
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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