Question

A popular extreme activity is bungee jumping. A person whose ankles are attached to a bungee cord, jumps off a ledge and bounces upside-down in mid-air. Suppose a person jumps off the ledge and falls 122 ft before rebounding. Consider the point at which the person rebounds to be t=0. The person hen rebounds to a distance of 46 feet from the ledge after 3 seconds (assume there is no resistance in the bungee cord).
1. Write a function that represents the person's vertical distance from the ledge as a function of time
2. Graph the function you wrote in question 1
3. If the bungee cord's resistance slowed the person's bounce so that they bounced 7.6 feet less each cycle, how long would it take for the person to stop bouncing?
4. How long is the bungee cord if the conditions in question 3 are true?
5. sketch a graph of the situation if the conditions in question 3 are true

requirements: answers for 1, 3, 4 must include all work.