Nothing new or exciting here....
Sure, rest is zero velocity (v) and zero acceleration (a). To get this mass
rotating at a contant velocity v1 the energy required is (.5m *v1^2).
However, if the mass has some rotation, v0, then the energy required
is (.5m*(v1^2 - v0^2).
The same would be true of a car at rest at a stop light, when the light
changes, a car next to you still has some velocity (energy) and can easily
accellerate (add energy) to build up to a higher velocity quicker than the
stopped car.