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The recent development of the Velocity Gradient Technique allows observers to map magnetic field orientation and magnetization using the direction of velocity gradients. Aside from the directions, amplitudes of velocity gradients also contain valuable information that is the subject of this study. Based on the properties of magneto-hydrodynamic (MHD) turbulence, we explore what physical information is contained in the amplitudes of velocity gradients and discuss how this information can be used for the diagnostics of turbulence in both diffuse and self-gravitating interstellar media. We identify the relation between amplitudes of both intensity and velocity centroid gradients and the sonic Mach number $M_s$ and they are consistent with the prediction of the theory. We test the robustness of the method. We also discuss how to utilize the amplitudes of gradients into self-gravitating media. To extend the velocity gradient technique we also discuss to usage of amplitude method to Position-Position Velocity (PPV) space as a possible way to retrieve the velocity channel maps not contaminated by thermal broadening. We discuss that the Velocity Gradient Technique with these advancements could potentially give a significantly more accurate statistical insight into the properties magnetized turbulence.

Advancing the Velocity Gradient Technique: Using Gradient Amplitudes and Handling Thermal Broadening