(a) Each set of parametric equations represents the motion of a particle. Use a graphing utility to graph each set.

(b) Determine the number of points of intersection.
(c) Will the particles ever be at the same place at the same time? If so, identify the point(s).
(d) Explain what happens when the motion of the second particle is represented by

First Particle: x = 3 cos t, y = 4 sin t, 0 t 2 Second Particle: x 4 sin t, y 3 cos t, 0 t 2 =