I had the same on my 3.8L 2002 Impala. Right arround 3500-4000rpms with moderate to high acceleration; shaking and bucking. With light acceleration, it seemed OK. And no "check engine" light.
It was the MAF sensor. I ended up replacing it, but it was pretty expensive $150+?
You might try cleaning yours first with MAF spray cleaner.
It is located on the throttle body under the engine cover.
Here is picture of it: http://i2.photobucket.com/albums/y48/ZeeVert/2002%20Impala/ac%20condensor/MAFsensorcopy.jpg
I was working on the a/c so some other parts were removed.
For Acceleration related problems,
Click
the link below to troubleshoot this problem: ---
Car loses power while
acceleration?
http://schematicsdiagram.blogspot.com/2011/12/car-loses-power-while-acceleration.html
----------
Loss of acceleration?
http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html
-----------
Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
--------------
How exactly the Vehicles
Accelerator Cable works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-----------
How exactly Vehicles
Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
----------
accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
----------
stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
---------
Engine accelerates when brake is applied?
http://technoanswers.blogspot.in/2012/02/engine-accelerates-when-brake-is.html
-----------
This
will help.
Thanks.
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-----------
How exactly Vehicles
Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
----------accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
----------stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
---------Engine accelerates when brake is applied?
http://technoanswers.blogspot.in/2012/02/engine-accelerates-when-brake-is.html
-----------This will help.Thanks.
Click
the link below to troubleshoot this problem: ---
Car loses power while
acceleration?
http://schematicsdiagram.blogspot.com/2011/12/car-loses-power-while-acceleration.html
----------
Loss of acceleration?
http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html
-----------
Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
--------------
How exactly the Vehicles
Accelerator Cable works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-----------
How exactly Vehicles
Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
----------
accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
----------
stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
---------
Engine accelerates when brake is applied?
http://technoanswers.blogspot.in/2012/02/engine-accelerates-when-brake-is.html
-----------
This
will help.
Thanks.
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-------
How exactly
Vehicles Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
------
accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
-------
stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
-------
Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
-------
Car loses power while acceleration?
http://schematicsdiagram.blogspot.com/2011/12/car-loses-power-while-acceleration.html
---------
This will help.
Thanks.
Click
the link below to troubleshoot this problem: ---
Car loses power while
acceleration?
http://schematicsdiagram.blogspot.com/2011/12/car-loses-power-while-acceleration.html
----------
Loss of acceleration?
http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html
-----------
Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
--------------
How exactly the Vehicles
Accelerator Cable works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-----------
How exactly Vehicles
Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
----------
accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
----------
stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
---------
Engine accelerates when brake is applied?
http://technoanswers.blogspot.in/2012/02/engine-accelerates-when-brake-is.html
-----------
This
will help.
Thanks.
Click
the link below to troubleshoot this problem: ---
Car loses power while
acceleration?
http://schematicsdiagram.blogspot.com/2011/12/car-loses-power-while-acceleration.html
----------
Loss of acceleration?
http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html
-----------
Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
--------------
How exactly the Vehicles
Accelerator Cable works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-----------
How exactly Vehicles
Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
----------
accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
----------
stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
---------
Engine accelerates when brake is applied?
http://technoanswers.blogspot.in/2012/02/engine-accelerates-when-brake-is.html
-----------
This
will help.
Thanks.
For
acceleration problem, the help links are provided below, click the link below
to go through its procedure: ----
Engine accelerates when brake is
applied?
http://technoanswers.blogspot.in/2012/02/engine-accelerates-when-brake-is.html
----------
Loss of acceleration?
http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html
----------
How exactly the
Vehicles Accelerator Cable works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
-------
How exactly
Vehicles Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
------
accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
-------
stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
-------
Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
-------
Car loses power while acceleration?
http://schematicsdiagram.blogspot.com/2011/12/car-loses-power-while-acceleration.html
---------
This will help.
Thanks.
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