A particle moves on a circle of radius 3 cm, centered at the origin, in the xy-plane (x and y measured in centimeters). At time t = 0 it starts at the point (0,3) and moves counterclockwise as t increases, going once around the circle in 8 seconds at constant speed. (a) Write a parameterization for the particle's motion. x(t) = y(t) = (b) What is the particle's speed? speed =1 (Give units.)