Final answer:
Jessica's bungee cord begins to stretch after she falls 105 feet, which is the length of the unstretched cord as she jumps from the bridge.
Step-by-step explanation:
Jessica's bungee cord will begin to stretch once she has fallen the length of the unstretched cord. Since the bridge is 185 feet above the water and the bungee cord is 105 feet long, the cord will begin to stretch 105 feet after Jessica jumps. This is the moment where the cord will begin to decelerate her fall until she reaches the lowest point in her jump. The exact time at which the cord begins to stretch depends on the acceleration due to gravity but could be found using kinematic equations if necessary.