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You have persuaded your friend Astrid to attempt an illegal bungee jump from a Bridge. You will provide the bungee cord which has a total length of 40 m and a spring constant of k = 16 N/m. During the jump, Astrid will first fall freely for a distance equal to the length of the cord, after which the cord will begin to stretch, obeying Hooke’s law. Astrid’s mass is 52 kg. The lowest point she reaches before rebounding is _____________ below the bridge

I used F=kx, plugging in the gravitational weight for F and 16 for k to get a displacement of 32m, added to 40 would give an answer of 72m.

The actual answer is 132m and I can't figure out what I'm missing.