Chapter 12, Problem 14PS

Ferris Wheel You want to toss an object to a friend who is riding a Ferris wheel (see figure). The following parametric equation give the path of the friend $r_1(t)$ and the path of the object $r_2(t)$. Distance is measured in meters, and time is measured in seconds.

$\begin{array}{l}{r}_1(t)=15\left(\sin \frac{\pi t}{10}\right)i+\left(16-15\cos \frac{\pi t}{10}\right)j\\ r_2(t)=\left[22-8.03(t-t_0)\right]i+[1+11.47(t-t_0)-4.9{(}^t]j\end{array}$