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In my opinion=> As long as the aircraft has fuel to power its on-board engines, it will be able to sustain supercruise/supersonic flight with AB, ofcourse before you run out of fuel, incase your aircraft has an IFR probe, then it can refuel itself with the help of a aerial refuelling tanker. So basically, as long as you have fuel, you can supercruise.How long can F-35A supercruise and engage in aerial combat thereafter? or supercruise until fuel supply is exhausted?
But no pilot would be insane to exhaust all his fuel by going supersonic throughout the duration of his flight, like I said before in a previous post, both supersonic flight with AB and even supercruise are fuel intensive though the latter is better because of more efficient consumption of fuel.
One thing I don't know if everyone is aware of or not but the maximum ferry range of a fighter such as F-15, F-18, Rafale, F-35, F-22, F-16, Su-30 etc is only achievable in subsonic flight/mainly subsonic. Let's say that your plane is capable of going supersonic and you take off, and you immediately hit the afterburners, while you will cover a vast amount of distance in a short span of time, you will exhaust your fuel much more quicker than in subsonic flight.
In aerodynamics, you can't have both speed and range at once, if you want very high speed then you will have to increase the burn rate of your propellent, but as you increase the burn rate of the propellant, you also greatly increase fuel consumption which in turn results in the onboard plane having less fuel and hence will carry less distance. The same principle is used in missiles such as meteor which have very long range, why? Because of their ability to throttle back, basically they can control the flow of fuel, unlike conventional missiles like AIM-120, R-77, R-27, SD-10 etc whose motors will burn for a few seconds and the rest of the flight path is only dependent on the kinetic energy that the missile has attained as a result of that boost which it's rocket motor had given it initially.