NASA's parabolic-flight trainer can simulate true weightlessness in the cabin for at most 25 seconds, a duration limited by the maximum allowed change in altitude during the maneuver. To prepare a crew for a hypothetical mission to a super-Earth whose surface gravity is
gs=25 m/s2, the plane is instead flown on a constant-acceleration trajectory that makes occupants feel an apparent gravity equal to
gs throughout the maneuver. If the maximum allowed change in altitude is the same for both trajectories, for what length of time can the plane sustain the super-Earth simulation? Take
g=10 m/s2.