A very interesting video. I've been driving for over 50 years and never heard of accelerating when having blow-out or rapid loss of air.
I had a blowout on the left front tire on the diesel pusher. Other than a bit of a rumble and some movement of the steering wheel, it wasn't too bad and there was no loss of control. I know I didn't brake hard, but I imagine I applied the brakes as I pulled to the right side of the road.
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