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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text: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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