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A small package is fired off Earth's surface with an unknown launchspeed at a 42.0^\circ angle with the localhorizontal. It reaches a maximum height above the surface of 6380.0 km, a value equal to Earth's radius itself. Whatis its speed when it reaches this height? Ignore any effects thatmight come from Earth's rotation or from air resistance. (Hint: Youwill need to use two conservation equations and solve two equationsin two unknowns.)

What is the speed of the package when itreaches its maximum height?

What was the launch speed of the package?

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