Contrary to the one based on position the results given by the metric based on acceleration are quite disappointing.
Basically we get one big cluster embedding a lot of players and several 1-player cluster. The biggest cluster behaves like a “sink cluster”: as we increase the value of \(C_{penalty}\) the 1-player clusters tend to be directly absorbed by the biggest cluster.
As a consequence nothing can be infer from the results of this acceleration-based distance. It does not allow to solve our problem.