Chapter 10.6, Problem 66PE

To determine

To determine : The following given position of one particle at time $t$ is given by $x_1=3+3\cos t$ and $y_1=5\sin t$ for $0\le t\le 2\pi$ . Also, the position of second particle is represented by $x_2=\frac{6}{\pi }t$ and $y_2=\frac{10}{\pi }t$ for $0\le t\le 2\pi$ .

(a) The paths of both the particles simultaneously using a graphing utility.

(b) The number of points where the graphs intersect.

(c) Whether the particles collide. If so, then find the position and time.