Let's analyze each part of the question you answered:

1. Part (a) - The coordinates for point $A$ and $B$ are correct:

   • $A$ at $(2.5, 4.33)$
   • $B$ at $(12.5, 0)$

2. Part (b) - The angular velocity, $\omega = 6\pi$ radians per second, is also correct.

3. Part (c) - The expressions for the $x$- and $y$-coordinates of point $A$ as functions of $t$ are:

   • $x = 5 \cos(6\pi t)$
   • $y = 5 \sin(6\pi t)$

   These answers are correct.

4. Part (d) - Here, the formula you used for the $x$-coordinate of point $B$ as a function of $t$ is: $x = 5 \cos(6\pi t) + 10$ However, it appears incorrect. Since $B$ is 10 cm to the right of $A$, the correct expression should be: $x = 5 \cos(6\pi t) + 10$ You need to make