Excellent human jumpers can leap straight up to a height of 100 cm off the ground. To reach this height, with what speed would a person need to leave the ground?
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Excellent human jumpers can leap straight up to a height of 130 cm off the ground. For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. Part A To reach this height, with what speed would a person need to leave the ground? Express your answer with the appropriate units.
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A pole-vaulter converts the kinetic energy of running to elastic potential energy in the pole, which is then converted to gravitational potential energy. If a pole-vaulter's center of gravity is $1.0 \mathrm{~m}$ above the ground while he sprints at $10.0 \mathrm{~m} / \mathrm{s},$ what is the maximum height of his center of gravity during the vault? For an extended object, the gravitational potential energy is $U=m g h,$ where $h$ is the height of the center of gravity. (In $1988,$ Sergei Bubka was the first pole-vaulter ever to clear $6 \mathrm{~m}$.)
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