A spacecraft is in a circular orbit about the moon, 1.03 x 105 meter above its surface. The speed of the spacecraft is 1770 meter per second, and the radius of the moon is 1.74 x 106 meter. If the moon were a smooth, reflective sphere:
(a) determine how far below the moon's surface would the image of the spacecraft appear?
(b) Find the apparent speed of the spacecraft's image? (Hint: both the spacecraft and its image have the same angular speed about the center of the moon.)