A 24 ft ladder is placed upright against a wall. Then the top of the ladder slides down the wall while the foot of the ladder is pulled outward along the ground at a steady rate of 2 ft/s.
a. Find the heights that the ladder reaches at 1 s intervals while the ladder slides down the wall.
b. How long will it take before the ladder is lying on the ground?
c. Does the top of the ladder also slide down the wall at a steady rate of 2 ft/s? Explain your reasoning.
d. Write parametric equations that model the distance in feet of the foot of the ladder from the wall, x, and the height in feet that the top of the ladder reaches, y. Let t represent time in seconds.
e. Write a complete explanation of the rate at which the ladder slides down the wall.

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