A particle is moving in space with position function RIt) = (cos(4t), sin(4t), 5- 3t. a) Determine the arc length parametrization of R with reference point P(sin 4, cos 4, 2). b) Find the coordinates of the particle if it travelled 10 units from (cos 4, sin 4, 2). c) What is the cunvature of the graph of Ratt= mi4?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
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A particle is moving in space with position function R(t) = (cos(4t), sin(4t), 5 - 31.
a) Determine the arc length parametrization of R with reference point P(sin 4, cos 4, 2).
b) Find the coordinates of the particle if it travelled 10 units from (cos 4, sin 4, 2).
c) What is the curvature of the graph of Ratt = m/4?
Transcribed Image Text:A particle is moving in space with position function R(t) = (cos(4t), sin(4t), 5 - 31. a) Determine the arc length parametrization of R with reference point P(sin 4, cos 4, 2). b) Find the coordinates of the particle if it travelled 10 units from (cos 4, sin 4, 2). c) What is the curvature of the graph of Ratt = m/4?
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