Blend Door Problem
Your problem sounds like the common blend door problem on the Ford Expeditions, and Ford Explorer. The door is on a vertical axis and when it breaks, it can swing back and forth randomly giving heat or AC or nothing. The difference on acceleration is the force placed on the door swinging it one direction.
You can check the operation by fully opening the glove box, removing the actuator motor on top of the plenum box and examining the blend door axle (the actuator is under the unit on top of the hump behind the flexible black plastic cover. It is on top of the unit, behind the glove box in the 2002 F-350 though). Pictures of the common fail signature are available on the Related Links below. There are several "free" fixes that mostly are worth what you pay for them. The solution on the web site is solid and proven over hundreds of vehicles and will resolve the problem once and for all.
if youre trying to turn the heater on and cold air comes out, then its most likely the heater core
Low Coolant? Bad thermostat? Heater core plugged or restricted? Heater core airbound? Heater control cable not working?
Low coolant? Bad thermostat? Heater core plugged, restricted or airbound? Bad heater control? Water pump not circulating coolant?
Your heater will blow cold air only.
It doesn't really blow it out it just warms the cold air.
Check Antifreeze level..make sure there are no leaks under the vehicle.
you need to replace your heater core
it wont blow heat itll blow cold air
The selector switch needs to be fixed or replaced.
you are low on coolingliquid !
heater core possibly plugged and leaking
Either a faulty thermostat or you have a low coolant level.