Launching aircraft by steam

Did you know jet fighters are sometimes powered by steam? On aircraft carriers, jet fighters are launched from the deck by means of a steam catapult, which helps accelerate the aircraft quickly enough to achieve takeoff speed in the short distance of the carrier deck. The necessary takeoff speed for a modern carrier based fighter is \(80~\mbox{m/s}\) and the length of the steam catapult on a carrier deck is around \(95~\mbox{m}\). If the acceleration of the jet from rest is constant, what is the minimum acceleration the catapult must provide during takeoff in \(\mbox{m/s}^2\)?

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