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 $g_J = 25\ \text{m/s}^2$, the plane is instead flown on a constant-acceleration trajectory that makes occupants feel an apparent gravity equal to $g_J$ 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 $g = 10\ \text{m/s}^2$.