Intake manifold air leak or you need to put some fuel injector cleaner in. Did you gap your plugs correctly?
There are several things that can cause your 2002 Ford Taurus to hesitate when accelerating. A dirty air filter will cause the problem.
my 2001 ford escape sputters and carries on it doesn't want to run when it is rainy or damp out I have replaced 4 of the six coils cause they were bad so what now????
check plugs and wires, and the fuel filter for proper installation. Fuel filters have a directional arrow on them, to indicate which way to install them. If it is in backwards, that can cause fuel starvation and stalling under load, such as when you are accelerating.
The most likely cause is a dirty fuel filter that starves the engine.
change yer fuel filter?
There could be several reasons your car is "hiccuping" when accelerating, but a common cause would be a misfire from a bad spark plug. It's also possible your fuel system might need to be cleaned or replaced, such as your fuel lines and filter.
There are many things that could cause these problems individually. However, if all of these are happening at once, it sounds like the computer of the car is going out and needs to be replaced.
Your front, left or right axle needs to be replaced.
Dirty air filter is the first thing I'd check.
Check the air filter, fuel injectors, EGR valve and temperature sensor.
fuel filter
Check your "Kick Down" cable. It helps you transmission shift into the passing gear. If it is stretched or simply worn out,it may cause the problem.