The highest jump ever made was by Joseph Kittinger in 1960--31 km. This year, astronaut Felix Baumgartner will attempt a 36 km jump, and there is talk about Michael Fournier attempting a 40 km jump. According to medical director Jonathan Clark (via Science magazine, subscription required), jumps from this height have a variety of health risks, including nitrogen bubbling from the blood, sweat freezing on the skin, and spinning while falling -- leading to a brain hemorage.
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