Velocity driven Animations while adhering to physical constraints. (New Editor)

Some times it is necessary to animate Velocity while keeping Acceleration, Jerk and Position within given limits. Solving the newtonian equations for each time frame is tedious and error prone

In the upper diagram of that Screenshot ( all rights reserved by wiredworks filmtechnik gmbh )

We see Vel over Position

• black line - - green Fill : Limit
• red line editable Vel over Position
• red x Keypoints for editing

The Lower Diagramm is in the Time Domain

• gray Dotted - - green Fill Vel Limit
• red line editable Vel over Time
• blue Acceleration over Time
• cyan Position over Time

The Position over Time would be the Animation to be put in the Time-Line

While developing an add-on ( github.com/wiredworks/wiredworks_winches ) I tried to implement such an editor using the graph editor and/or the driver editor only to discover that the Time-Line is to granular for such manipulations (T83051).

Having looked into the discussion about new editors ( devtalk.blender.org/t/developing-a-new-editor/894 ) I have to disagree with @kilon -- this feature can only be realized in a new editor.

Update 01.01.21:

Not beeing able to write an integrated editor (yet) I wrote an App that accomplishes the generation of physical correct Curves. github.com/wiredworks/wiredworks_winches/tree/master/UClients_and_helpers/VelEditor