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The equation r(t) = sin(3t) i + cos(3t) j, t20 describes the motion of a particle moving along the unit circle. Answer the following questions about the behavior of the particle. a. Does the particle have constant speed? If so, what is its constant speed? b. Is the particle's acceleration vector always orthogonal to its velocity vector? c. Does the particle move clockwise or counterclockwise around the circle?

The equation r(t) = sin(3t) i + cos(3t) j, t20 describes the motion of a particle moving along the unit circle. Answer the following questions about the behavior of the particle. a. Does the particle have constant speed? If so, what is its constant speed? b. Is the particle's acceleration vector always orthogonal to its velocity vector? c. Does the particle move clockwise or counterclockwise around the circle?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The equation r(t) = sin(3t) i + cos(3t) j, t20 describes the motion of a particle moving along the unit circle. Answer the particle. the following questions about the behavior a. Does the particle have constant speed? If so, what is its constant speed? b. Is the particle's acceleration vector always orthogonal to its velocity vector? c. Does the particle move clockwise or counterclockwise around the circle? d. Does the particle begin at the point (1,0)? a. Select the correct choice below and fill in any answer boxes within your choice. OA. The particle's constant speed is OB. The particle's speed is not constant. 11/12/2022 11:39
Transcribed Image Text:The equation r(t) = sin(3t) i + cos(3t) j, t20 describes the motion of a particle moving along the unit circle. Answer the particle. the following questions about the behavior a. Does the particle have constant speed? If so, what is its constant speed? b. Is the particle's acceleration vector always orthogonal to its velocity vector? c. Does the particle move clockwise or counterclockwise around the circle? d. Does the particle begin at the point (1,0)? a. Select the correct choice below and fill in any answer boxes within your choice. OA. The particle's constant speed is OB. The particle's speed is not constant. 11/12/2022 11:39
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