Hesitation on acceleration 96 suburban - Cars & Trucks

http://engine-codes.com/p1125_chevrolet.html
According to that website above, its your Accelerator Position Pedal Sensor. If you have already replaced it check your wiring harness.
Here is a website that for your wiring diagram for your 2005 Chevy Suburban.

is it fuel injected? seems like your distributer cap maybe going bad.

Could be TPS sensor [RPM] getting bad.

the bendix is going out of your starter

Is this fixed?

Sounds like it needs a tune-up.

Had a similar problem that also caused the power brakes not to function. I believe there was a problem in the vacum fittings that was causing it to lose power but I am clearly not an expert.

MOST TIME CAR STUMBLE OR HESITATION ON ACCELERATION YOU.HAVE A SLIGHT LEAN FUEL MIXTURE.CAUSED BY STOPPED UP FUEL INJECTORS OR FUEL FILTER SLIGHTLY PLUGGED.

sound like an internal engine problem. either one or more of the pistons has "piston slap" and that knocking will diminish as the engine warms up or possibly a rod bearing is worn out. have a tech do a manual oil pressure test to make sure the oil pump and main bearings are ok. piston slap or knock that decreases when the engine warms up is not that serious, but a rod bearing knock or possible oil pump failure should be taken care of asap.

Have these things checked for #1:
Spark plug
plug wire
#1 fuel injector
and the throttle position sensor, also have a fuel pressure test done, especially for the hesitation.