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You’re working on the script of a movie whose plot involves a hole drilled straight through Earth’s center and out the other side. You’re asked to determine what will happen if a person falls into the hole. You find that the gravitational acceleration inside Earth points toward Earth’s center, with magnitude given approximately by g(r) = g0(r/RE), where g0 is the surface value, r is the distance from Earth’s center, and RE is Earth's radius. What do you report for the person’s motion, including equations and values for any relevant parameters?
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