I will add 10:22am there would've been quite a bit of traffic (relatively speaking) and highway patrol loves hanging out on I40 (as it's a major drug corridor).
Think about it like a reverse drag race where you start at trap speed and reach 0 ASAP and the vehicle always has more power than it can put to the ground (indeed brakes are basically always capable of enough torque to break the wheels free). Pretty much anything on good tires should be able to stop from that kind of speed in under 1/4mi. It won't be 1/8mi but it will be solidly under 1/4.
I can say from personal experience that if you have non-terrible tires and you're stopping in the kind of distances insurance companies, driver's ed and state drivers' manuals like to quote then something is wrong because those sources are very, conservative with stuff like that (for obvious reasons).
I'm not trying to assume best case. I'm saying we should not assume worst case either. Most sources do the latter because most sources seek to coax everyone into driving conservatively (which is not a bad thing).