(Solution) - The bungee jumper of Example 6 4 made a jump into -(2025 Original AI-Free Solution)

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The bungee jumper of Example 6.4 made a jump into the Gorge du Verdon in southern France from a platform 182 m above the bottom of the gorge. The jumper weighed 780 N and came within 68 m of the bottom of the gorge. The cord's unstretched length is 30.0 m.
(a) Assuming that the bungee cord follows Hooke's law when it stretches, find its spring constant. [The cord does not begin to stretch until the jumper has fallen 30.0 m.]
(b) At what speed is the jumper falling when he reaches a height of 92 m above the bottom of the gorge?