NASAs KC135A aircraft flies in parabolic arcs to simulate the weightlessness experienced

Chapter 5, Problem 50

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NASAs KC135A aircraft flies in parabolic arcs to simulate the weightlessness experienced by astronauts in space. The height h of the aircraft (in feet) t seconds after it begins its parabolic flight can be modeled by the equation h(t) = 9.09(t 32.5) 2 + 34,000. What is the maximum height of the aircraft during this maneuver and when does it occur?

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