That's an interesting problem i would test the coil, if that's not the problem i would check the wires for a short and high restance,
Bad speed sensors can cause the car to hesitate when accelerating at speeds below 20 mph. The blockage of the air filters can also cause the car to hesitate when accelerating at speeds below 20 mph.
If the chirping noise speeds up as the truck speeds up, check the u-joints in the drive line.
Could be tires out of balance. Or a bad tire.
check ditributor cap and rotor and spark plug wires
There are several things that can cause your 2002 Ford Taurus to hesitate when accelerating. A dirty air filter will cause the problem.
That itself does not cause tornadoes, but a similar phenomenon is a factor in tornado formation. When wind at different altitudes blows in different speeds and directions, the air in between and start to roll horizontally. This is called wind shear. Again, wind shear alone cannot produce a tornado, but it is an important factor in how tornadoes form.
This most likely sounds like your water pump is on its way out. HAVE IT CHECKED IMMEDIATELY.
Loss of power when accelerating can be caused by a number of things. A leak in the fuel line or even a bad alternator can cause this.
You probably have a fuel delivery issue, or a slight misfire caused by bad spark plugs or bad coils. Dirty throttle bodies and vacuum leaks can cause this as well, not to mention improper idle speeds.
Fuel is not good!
A clicking noise, when accelerating, can be caused by a worn CV joint. The CV joint can cause the axle to collapse when it breaks.
This question has been recategorized under "Car Shaking Problems." Vibrations at some speeds and not others could be caused by something as simple as a wheel not being balanced properly, or it could be caused by something more serious. Start by having your wheels balanced. Check other answers in the above category too.