Two points, A and B, are 275 ft apart. At a given instant, a balloon is released
at B and rises vertically at a constant rate of 2.5 ft/sec, and, at the same
instant, a cat starts running from A to B at a constant rate of 5 ft/sec.
a) After 40 seconds, is the distance between the cat and the balloon
decreasing or increasing? At what rate?
b) Describe what is happening to the distance and the balloon at 50 t =
seconds.