Answered: Q1 (99 points) Find the normal and… | bartleby

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 11ECP

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Q1 (99 points)
Find the normal and tangential acceleration of the curve
r(t) = e² i + tj + e¯¹ k, t Є R,
at t = 0 in two ways:
(A) by calculating the the dot product of the (vector) acceleration with
the unit tangent and normal vectors; and
(B) by calculating the rate of change of the speed, and the centripetal
acceleration obtained from by the speed and the radius of curvature.

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