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Consider the record throws for the javelin, men 98.48 m (Zelezny, 1996, 0.800 kg) and women 72.28 m (Spotakova, 2008, 0.600 kg); discus, men 74.08 m (Schult, 1986, 2.00 kg) and women 76.80 m (Rensch, 1989, 1.00 kg); and shotput, men 23.12 m (Barnes, 1990, 7.26 kg) and women 22.63 m (Lisovskaya, 1987, 4.00 kg). (a) Find the minimum initial kinetic energies for the six throws. (b) For which events does air resistance apparently play the largest and smallest roles?

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