Hesitates on take off and sometimes during low speed in town traffic

Do you drive a lot, and often at the same speed? I had a long commute with no traffic and did this for years, and started getting a stutter/hesitation at a certain speed. I realized that it didn't happen if I changed my cruising speed slightly. It turned out that my throttle position sensor had gotten a worn spot in it from being at the same place all the time. I changed it out and the problem vanished. Just something to consider.

THE RADIATOR HAS METAL TO PLASTIC FITTINGS AND IT GOES, REPLACE RADIATOR, WHEN IT DOES FAIL YOU ARE ON THE SIDE OF THE ROAD!!

replace the :thin film" ignition module also check the distributor magnetic reluctor for slip

ENGINE HESITATES WHILE ACCELERATION
LOSS OF ACCELERATION

It can be fuel pressure issue or it's the problem with accelerator pedal or its clogged filters causing there.
There are many other possibilities. I suggest you to go through the list of help links mentioned below, these will help you to confirm where the actual fault lies: -------
Jerks and Hesitates During Acceleration?
http://technoanswers.blogspot.in/2012/07/2004-dodge-town-country-jerks-and.html
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Loss of acceleration?
http://technoanswers.blogspot.in/2012/02/loss-of-acceleration.html
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Headlights flickering and car hesitates to start?
http://howtobyme.blogspot.in/2012/02/headlights-flickering-and-car-hesitates.html
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How exactly the Vehicles Accelerator Cable works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-cable.html
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How exactly Vehicles Accelerator Pump Diaphragm Works?
http://repairhelpcenter.blogspot.com/2011/11/how-exactly-vehicles-accelerator-pump.html
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2000 Toyota Avalon: Engine Lean Codes and Knock Sound on Acceleration?
http://whatisbyme.blogspot.in/2012/05/2000-toyota-avalon-engine-lean-codes.html
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2004 Toyota Avensis: Acceleration And Deceleration makes noise on Front End?
http://whatisbyme.blogspot.in/2012/05/2004-toyota-avensis-acceleration-and.html
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Wheel hop under hard acceleration?
http://technoanswers.blogspot.in/2012/04/wheel-hop-under-hard-acceleration.html
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2009 Chevy impala accelerator pedal sensor?
http://technoanswers.blogspot.in/2012/02/2009-chevy-impala-accelerator-pedal.html
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Nissan Pathfinder stalls and bucks on Acceleration?
http://technoanswers.blogspot.in/2012/02/nissan-pathfinder-stalls-and-bucks-on.html
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Acceleration lag problem?
http://repairhelpcenter.blogspot.com/2012/01/acceleration-lag-problem.html
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These details will help.
Thanks.

One of your accesory drive assemblies could be bringing your motor down. Such as your power steering pump or water pump. If the bearings in either of those were to go bad it could interfere with your idle while sitting in traffic. Also, while you are sitting in traffic your foot is most likely on the brake pedal. If you have a vacuuum leak at your throttle body or brake booster it would affect your idle in that situation.
Hope this helps. Don't forget to give a vote. Thanks.

Here are the common cause of surges, stalls at stops, slow idle speed, erratic idle speed, rough idle and engine hesitation (and other problems), it is in most cases the idle speed control air-bypass valve and or throttle valve and upper intake, these area's get full of gunk and combustion residue over the miles and cause idle issues (stalls, low idle) like yours, Get a can of intake cleaner from any local parts store, not carb spray, intake cleaner, it is made by a company called CRC, remove the air intake hose to the engine, hold the idle high so the engine won't stall, then spray the can of cleaner into the intake while keeping the engine running, use at least 1/2 the can, shut down the engine and disconnect the battery for 5 minutes, then restart and complete a number of mixed driving cycles, town, freeway, stop and go etc., after a few days the problem will go away as the system will relearn to the clean intake.

low speed shakes indicates a wheel alignment problem
have the suspension and wheel bearings checked out by an accredited suspension shop
under acceleration it could be engine mounts cracked in the rubber being actuated by misfiring form a cylinder
run the fault codes as well

this is your problem:

Here are the most common causes of surges, stalls at stops, low erratic idle speed, rough idle and engine hesitation (and other problems), it is in most cases the idle speed control air-bypass valve and or throttle valve and upper intake, these area's get full of gunk and combustion residue over the miles and cause idle issues (stalls, low idle) like yours, Get a can of intake cleaner from any local parts store, not carb spray, intake cleaner, it is made by a company called CRC, remove the air intake hose to the engine, hold the idle high so the engine won't stall, then spray the can of cleaner into the intake while keeping the engine running, use at least 1/2 the can, shut down the engine and disconnect the battery for 5 minutes, then restart and complete a number of mixed driving cycles, town, freeway, stop and go etc., after a few days the problem will go away as the system will relearn to the clean intake

Here are the most common causes of surges, stalls at stops, low erratic idle speed, rough idle and engine hesitation, it is in most cases the idle speed control air-bypass valve and or throttle valve and upper intake, these area's get full of gunk and combustion residue over the miles and cause idle issues (stalls, low idle) like yours, Get a can of intake cleaner from any local parts store, not carb spray, intake cleaner, it is made by a company called CRC, remove the air intake hose to the engine, hold the idle high so the engine won't stall, then spray the can of cleaner into the intake while keeping the engine running, use at least 1/2 the can, shut down the engine and disconnect the battery for 5 minutes, then restart and complete a number of mixed driving cycles, town, freeway, stop and go etc., after a few days the problem will go away as the system will relearn to the clean intake.

i have known some cars, ford in particular, to shed carbon from the piston top periodically, like peeling paint. some of this can get stuck under a valve seat with resulting loss of compression. i do not know why this happens. alternatively, town running deposits which used to be very common still occur sometimes. soft carbon deposits created on the spark plug during low speed (town) driving can become baked on rendering the spark plug useless if the engine speed/load is increased too quickly instead of being burned off which usually happens.