If you brake really hard, you're probably going to decelerate at around 7 m/s2.
25 MPH / 7 m/s2 ~= 1.6 seconds.
If you get caught running a redlight, you went through the intersection > 0.5 seconds after the light turned red, which is at least > 4 seconds after the light turned amber.
If you can't stop safely in that time, you weren't driving safely, or there were exceptional circumstances (eg. an ambulance, or a tailgating semi-trailer). The video footage of the event will exonerate you in those circumstances.
The total number of accidents increase, but the number of severe accidents decrease.
I love seeing people running red lights getting flashed. It makes my day.