My recommendation would be to make use of a User Data parameter as storage for the distance travelled and simply sum the distance per frame into this.
For example it could look like so:
The additional Time/Equal/Condition node group is needed to reset the distance on frame 0, otherwise it's pretty straight forward. The "Distance Travelled" port is the User Data parameter of type Real added to my travelling cube, but you could add this parameter to basically any other object or tag you like and see fit.
And the scene: test_xpresso_distance_per_frame_3.c4d
Cheers
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