A particle's motion is described by the following two parametric equations: x(t) = 5cos(2t) y(t) = 5sin(2t)

A particle's motion is described by the following two parametric equations:
x(t) = 5cos(2πt)
y(t) = 5sin(2πt)
where the displacements are in meters and t is the time, in seconds.
a) Draw a graph of the particle's trajectory (that is, a graph of y versus x).
b) Determine the equations that describe the x- and y-components of the velocity, vx and v," as functions of time.
c) Draw a graph of the particle's speed as a function of time.