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Regular Newtonian kinetic energy is 1/2 mv^2 . In this Newtonian world, the mass of something is constant, independent of velocity, in this equation. This gives a linear kinetic energy as speed goes up.
In the real Universe, this is not the case. Mass is a function of velocity, becoming infinite as velocity approaches the speed of light. This means that kinetic energy grows exponentially, as speeds approach the speed of light because while V might be increasing linearly, M is also increasing rapidly.
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