A particle moves on a circle of radius 5 cm, centered at the origin, in the xy-plane (x and y measured in centimeters). At time t = 0 it starts at the point (0,5) and moves counterclockwise as t increases, going once around the circle in 12 seconds at constant speed. (a) Write a parameterization for the particle's motion. të 6 x(t) = -5 sin y(t) = 5 cos t 6 (b) What is the particle's speed? speed = (Give units

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A particle moves on a circle of radius 5 cm, centered at
the origin, in the xy-plane (x and y measured in
centimeters). At time t = 0 it starts at the point (0, 5)
and moves counterclockwise as t increases, going once
around the circle in 12 seconds at constant speed.
(a) Write a parameterization for the particle's motion.
të
6
x(t)
= -5 sin
y(t) = 5 cos (²
tл
6
(b) What is the particle's speed?
speed:
(Give units)
=
Transcribed Image Text:A particle moves on a circle of radius 5 cm, centered at the origin, in the xy-plane (x and y measured in centimeters). At time t = 0 it starts at the point (0, 5) and moves counterclockwise as t increases, going once around the circle in 12 seconds at constant speed. (a) Write a parameterization for the particle's motion. të 6 x(t) = -5 sin y(t) = 5 cos (² tл 6 (b) What is the particle's speed? speed: (Give units) =
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