you could check out the fuel injectors to male sure they are not clogged or geta fuel injector cleaner, if that doesn't help then check the spark plugs and timing. also a bad catalytic converter might be to blame.
could be a bad plug
One reason a 1995 Honda Civic might sputter and cough while accelerating during normal driving is because of a bad coil. Another reason could be a bad fuel pump or fuel filter. Still another reason could be a bad oxygen sensor.
If a 1989 Suburban hesitates when accelerating from 45 miles per hour, the carburetor might need cleaned. A clogging can cause surging and hesitation.
your car might be weak on accelerating because it isn't firing on all cylinders.
An object that is accelerating may slow down, speed up, or change direction.
Since acceleration involves a change in velocity, and object might be accelerating even though its speed is constant.
dirty fuel line
Plug might be cracked .And might be arching
A loss of power on a Toyota Celica GT while accelerating can be a number of things. The timing might be off. The coil pack might be allowing for a misfire. There might also be a bad Oxygen sensor or bad distributor.
A vibration while accelerating in a 1995 Ford Windstar might be caused by an unbalanced tire. Another cause for a vibration might be a broken motor mount. A broken tie rod might also make the car vibrate upon acceleration.
i don't know, but it might be "accelerating"
A 1990 Cutlass Ciera might hesitate and sputter when the gas pedal is depressed because of water in the fuel or because of damaged or dirty fuel injectors. You might also have an issue with the wiring or the distributor.