2. Use related rates to answer the following. (a) (9 points) An 8-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of 2 ft/sec, how fast is the bottom moving along the ground when the bottom of the ladder is 5 ft from the wall? Answer: (b) (3 points) Suppose we only know that the top of an 8-ft ladder is sliding down a wall. What information would we need to know so we could calculate how far away the bottom of the ladder is from the wall at any time t