If the video is not capable of creating high-quality images with low blur, I would go with a camera with a very fast shutter speed, a very short exposure time and frame rate, following Seth's math, 44 cm by about a few feet, which should be decent for calculations.
The reaction time for a person to respond to someone after falling into breaks in front of them is 1.5 seconds. If you can determine that they hit their breakout within 1/30 of a second, and you need 1 second to calculate and apply breaks, you have already beaten the person during the reaction.
How fast your shutter speed should be depends on how fast you move. Shutter speed reduces image blur for a more accurate image for analysis.
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