5. An airplane is flying at an altitude of 8,000 feet with a speed of 600 feet per second. If the airplane's flight path would take it directly over a selected target on the ground, from how far downrange must a payload be dropped in order for it to land on the target? Neglect air resistance. What is the magnitude of the velocity (speed) of the payload at the time it hits the ground? Treat numbers (including g) as exact and either give the exact answer or a decimal approximation accurate to three places to the right of the decimal.

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