In reply to Fredt:
> To update, and to get this thread back to the original question, I have checked the discs, - no discolouring, and the pads look perfectly fine to my untrained eye.
> Any constructive help on this would be much appreciated.
Take it to a bike shop as brakes could still seem to work but be glazed and or contaminated pads and or the rotors, if new pads, not bedded in, etc, many possibilities. New pads can seem to be sharp when walking speed but are far from when at speed until they are bedded in.
If your not keen on taking to a shop then DIY clean rotors and pads with appropriate cleaning fluid, and or deglaze the pads. Try new pads. See how they feel then.
I note you say police said they were sharp. Could the cable be snagging but not all the time? So they failed, but later due to the jolting of the accident worked for the police. Given the severity of the accident, I would get it looked at professionally.