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One of the possible causes of a Pontiac Bonneville to jerk during acceleration is that the car needs a tune up. The engine misfiring can lead it to jerk as you accelerate.
During acceleration? I'm not sure. But when both idling and acceleration the engine's combustion can cause a lot of vibration in the steering wheel if you are in an older vehicle.
Fuel Pump
It depends on if you have a carburetor or fuel injection but it is probably in the throttle body. You could have trash in your throttle body or the throttle body is worn out.
Bucking during acceleration can be caused by a low fuel level. When the car is running on fumes, it is not getting a constant supply of gas which will cause it to stop and go.
try changing plugs and wires
There are numerous issues that can cause a lack of power during acceleration. Common causes include a clogged fuel filter, a clogged air filter, and dirty fuel injectors.
A bad o2 sensor can cause this problem in a car. A bad fuel pump, fuel filter or fuel line will also cause hesitation during acceleration.
Driving at 50mph or above what causes a loud knocking clicking sound during acceleration?
Bad tire? Bad wheel bearing? Bent wheel? Bent axle?
Try doing a tune up. Change sparplugs,wires etc.
Try disconnection your MAF ( mass airflow sensor ) and if it doesn't sputter when you accelarate, it means your sensor is gonzo.