There could be loose rings in the engine that would cause this. The valves on the engine may also be chattering.
The computer
what causes hesitation on ford f150 truck
Also check the water pump, alternator and tensioner pulleys.
you more than likely have an exaust manafold leaking or busted
The starter or battery cables/terminals are corrode.
Low battery voltage .?
Ford Dealer can help you. And tell you if there is anything wrong with your 2003 F150.
the clutch on your A/C compressor needs to be replaced.
your barrins in the wheels
The head gasket is about to blow.....Typical ford..
Under the hood.
Faulty power steering pump, bad power steering fluid, insufficient or excessive power steering fluid.