I worked as a fleet mechanic (as well as a driver) for 6, 1-ton Chevy/Grumman stepvans, all with 350 V-8's and automatic transmissions, for over 20 years.
The only time there were ANY accelerator problems, it usually boiled down to:
1. bad throttle cable (a very common problem, since the cable was about 6 feet long)...
2. broken, stretched, or fatigued throttle return spring...
3. worn bushings in the throttle body...
In ALL cases, the brakes were more than adequate to stop the vans, even with the throttle stuck wide open. The only cars I can think of that wouldn't have enough brakes to overcome the engine's power would be something from the former (or maybe current) Eastern Bloc/Soviet Union countries (ie think Yugo)....
I currently have a Ford F-250 diesel. 12 years ago, it started having problems with the engine not wanting to return to idle....
A new throttle cable fixed it....