The behaviour of this analysis over a wide span of energies was studied with a model 1,2-hydride shift reaction on vinyl carbocations. The visible curvature displayed allowed the determination of the kinetic-thermodynamic parameters and understand the combined effects of the parameters. Furthermore, this can be expanded to many other chemical systems including those where the curvature is not immediately apparent: the calculation of several sets of Beckmann rearrangements allowed to determine how the reasons for some substrates displaying lower barriers are not the same across all examples.