Of course, this would not work well if the other vehicle was substantially heavier (best indicated by the number and size of tires). You would have a difficult time stopping a tractor trailer with a minivan, possibly causing your brakes to fail or your tires to melt.
s/less/greater/
I guess people got the gist anyway.
He passed out because his circulation was poor, which I take to mean that his foot was resting on the accelerator, not that he was pushing it to floor.
Consider some advice from my driver's ed teacher long ago: "Some folks may have 4 wheel drive, but everybody has 4 wheel stop."
So we have two vehicles duking it out high speed (where braking power >> acceleration power already). It's probably no contest. But at worst, it's a high mass minivan with 4 wheels saying "stop" in a friction-with-the-pavement contest with a medium mass pickup with (probably) 2 wheels saying "go".
The minivan should win handily. Even if the pickup has it floored the whole time.
The brakes in the SUV in front are dimensioned for that SUV and I assume those brakes are not worse than the ones in the truck behind it.