[COLOR=Purple]37. A popular, but dangerous, activity is bungee jumping. A person, whose ankles are attatched to a bungee cord, jumps off a ledge and falls 122 feet before rebounding. Consider the point at which the person rebound to be t=0. The person the rebounds to a distance of 46 feet from the ledge after 3 seconds. Assume there is no resistance in the bungee cord.
a. write a function that represents the person's vertical distance from equilibrium point as a function of time.
b. write a function that represents the person's vertical distance from the ledge as a function of time.
c. what would be the position of the person after 30 seconds?