A teacher of 75.0 kg bungee-jumps (steps from rest) from a 100 m tower towards a river. The cord can stretch 40.0% of its unstrecthed length and has a breaking strength of 5000. N (if tension is greater than this, it snaps). The cord stretches .250 meters when a 10.0 kg weight is in equilibrium hanging from its end. If the teacher falls 35.0 meters before the bungee cord starts to stretch, will this become a free fall for the teacher, or will he bounce back? Support your answer will calculations and reasoning in words. Neglect air resistance.