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Lois Lane is in trouble! Lex Luthor has thrown her out of a helicopter 2.00km above the ground!!! He gave her an initial velocity of

Lois Lane is in trouble! Lex Luthor has thrown her out of a helicopter 2.00km above the ground!!! He gave her an initial velocity of 7.5m/s [down]. But never fear, Superman is near!!! In order to keep her safe, Superman must fly up and catch her at a height that would allow him enough time/distance to gently accelerate her and stop her before she hits the ground. What is the minimum distance, height above the ground, he needs to intercept her such that the maximum acceleration she feels is

no more than 5 g's at any point along her fall?

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