kinetic energy: "energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes."
in normal person terms: the energy of moving, or ~exercise, in a parallel world :)
Say m=2 so we're just left looking at the v^2 terms:
120^2 - 96^2 >? 24^2 - 0^2
5184 >? 576
So yes, the KE difference between 120 and 96 is greater than the difference between 24 and 0.