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As you suspected, actors are not the right tool for this experiment. They are animated instead of simulated, which means their pose is set to precise values at every time-step, instead of through the application of forces and dynamics.

One workaround would be to compute the velocity yourself based on position data over time.

Other solutions might involve not using actors, but a rigid model of a head, and making it move randomly by applying random forces every time-step.

This issue is also relevant.