# physics

In zero-gravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in the figure, the aircraft climbs from 24,000 ft to 32000 ft, where it enters the zero-g parabola with a velocity of 158 m/s at 45.0° nose high and exits with velocity 158 m/s at 45.0° nose low. During this portion of the flight, the aircraft and objects inside its padded cabin are in free-fall - they have gone ballistic. The aircraft then pulls out of the dive with an upward acceleration of 0.800g, moving in a vertical circle with radius 4.06 km. (During this portion of the flight, occupants of the plane perceive an acceleration of 1.800g.)
What is the aircraft's altitude at the top of the maneuver?

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