Parametric Functions Modeling Planar Motion Practice Test

A Ferris wheel has radius $12\text{ m}$, center $(0,12)$, and angular speed $\omega=\pi/10\text{ rad/s}$: $x(t)=12\cos(\omega t)$, $y(t)=12+12\sin(\omega t)$. Find position at $t=5$.

A pendulum of length $2\text{ m}$ swings with $\theta(t)=0.6\cos(\pi t)$ (radians): $x(t)=2\sin\theta(t)$, $y(t)=-2\cos\theta(t)$. What is position at $t=0$?