A particle moves on a circle of radius 6 cm, centered at the origin, in the xy- plane (a and y measured in centimeters). It starts at the point (0, 6) and moves counterclockwise, going once around the circle in 10 seconds. (a) Write a parameterization for the particle's motion. x(t) 6sin(t) y(t) = 6cos(t) (b) What is the particle's speed? speed = 3.77cm/s (Give units.)

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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A particle moves on a circle of radius 6 cm, centered at the origin, in the ry-
plane (x and y measured in centimeters). It starts at the point (0, 6) and moves
counterclockwise, going once around the circle in 10 seconds.
(a) Write a parameterization for the particle's motion.
x(t) =
6sin(t)
y(t) = 6cos(t)
(b) What is the particle's speed?
speed = 3.77cm/s
(Give units.)
........
Transcribed Image Text:A particle moves on a circle of radius 6 cm, centered at the origin, in the ry- plane (x and y measured in centimeters). It starts at the point (0, 6) and moves counterclockwise, going once around the circle in 10 seconds. (a) Write a parameterization for the particle's motion. x(t) = 6sin(t) y(t) = 6cos(t) (b) What is the particle's speed? speed = 3.77cm/s (Give units.) ........
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