Thank you for making my point......you've got one true example of excessive force out of the three videos you provided......the case of the female throwing her shoes at the officer.
The video of the male subject receiving baton strikes to the legs illustrates a controlled use of measured force to bring a resisting subject in to compliance, and the use of force stopped once the subject was brought under control. There are many questions from the video.....what was he being arrested for, what was he doing before the video started? One thing is certain from the video is that he was engaged in a prolonged struggle with officers who were trying to take him in to custody. The officer with the baton was striking an area of the body not likely to cause death or serious physical injury. It was an area designed to bring compliance from pain and discomfort only. The baton strikes he was giving would likely cause only bruising, pain and discomfort, which are acceptable risks of force used to overcome active resistance.
Moreover, it's very telling that the officer, instead of wildly wailing away at this guys head, was instead giving a shot or two at his legs, waiting a moment to see if that brought compliance, before adding another strike or two, and pausing to see if that brought compliance. Measured response NOT brutality. Force ended immediately upon compliance being gained.
In the video involving the motorist, you are judging the use of force via hindsight narrative.....none of which was available to the officer who chased the woman, who failed to yield to an emergency vehicle for a considerable distance. She was pulled out of the vehicle, per acceptable law enforcement practiced, and handcuffed. She complained of bruises and scrapes, which are considered acceptable injuries for uses of force involving active resistance (via fleeing and refusing to exit the vehicle to be handcuffed). Again, force ended IMMEDIATELY upon the subject being restrained.
Your lay perception of 'Police Brutality' isn't the same as the reality of Police Brutality......again, 95% of the cases that folks like yourself perceive as police brutality are nothing of the sort. CONTEXT is everything.
And what ends up happening is that, with your limited perception of the events, when the department does an internal investigation and finds the officer acted within accepted guidelines, you declare that the officer is 'Just getting a slap on the wrist'......when he did nothing objectively wrong to begin with.
When determining whether force is reasonable or excessive we must ask ourselves several questions, and not fall prey to a gut-level emotional reaction to the ugly nature of ALL force, not just unreasonable force.
1) Was there justification for arrest or restraint? (In all three cases the answer was yes)
2) Was there resistance on the part of the subject? (In all three cases the answer was yes)
3) Was there a need for force to overcome the resistance of the subject? (In all three cases the answer was yes)
4) Was the force used in proportion to the level of resistance? (In two out of three cases the answer was yes)
5) Did the force cease once compliance was achieved? (In two out of three cases the answer was yes)
ALL force is ugly.....ugliness is not the measure of brutality. And yes, i'm aware the state settled the lawsuit and and terminated the trooper in the video with the female motorist......but his use of force was not excessive given the nature of the resistance. He was fired because the video looked bad, and he appeared to be out of control (he could have handled the situation much better than he did) and could have been far more professional......but that's not the same as claiming police brutality.
The incident with the baton strikes shouldn't even be listed in the examples at all......and the subject in that circumstance could have ended that 'beating' any time he wanted......by simply complying and putting his hands behind his back. When he did so, it all stopped.
To address the incident involving the girl kicking her shoe at the officer, that incident is entirely indefensible. Her actions demanded a response, but the response she guy was grossly disproportionate to her actions.