We used " headed " in the same case of " closed " as an adjectives ... the speaker described that they was headed ( describe their state or their position ) ... so the speaker didn't describe what were they doing at that momonet ...
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TerIt is closed. - "closed" is an adjective, but what about this?headed is also an adjective.
I am headed for the airport.
TerWhy use "am headed" and not "am heading"?heading emphasizes the motion a bit more, but they are essentially the same.