A bungee jumper makes a jump into the Gorge du Verdon in the southern France from a platform of 182 m above the bottom of the gorge. The jumper weighs 780 N and comes in 68 m of the bottom of the gorge. The cord's un-stretched length is around 30.0 m.
(i) Supposing that the bungee cord follows Hooke's law if it stretches, determine its spring constant.
(ii) At what speed is the jumper falling if he reaches a height of 95 m above the bottom of the gorge?