What does the slope of a velocity vs time squared graph represent?

[TheThinkerToo]

Basing on the units, the velocity vs time is equal to acceleration. What about the velocity vs time squared and distance vs time squared graph?

Is the slope of the distance vs time squared graph one half of the acceleration? If it does, please explain.. :)

 

[PhysicoRaj]

Rate of change of acceleration and acceleration respectively.