It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge that is 100 m above a river and attach a 30 m long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 48 N/m. Assume that your mass is 85 kg. After a long hesitation, you dive off the bridge. How far are you above the water when the cord reaches its maximum elongation?