syntactic analysis - What does "travelling at high speed" in "Look out for the car travelling at high speed" function as?

Is there a term used to refer to the following parts of these sentences (in bold):

Look out for the car travelling at high speed.

Catch me coming in hot.

I'm not sure if these can be considered adjectival clauses or if there's a better terminology for it.

Answer

In the first sentence, it functions as an adjective (answering the question which car to look for). It is referred to as a participial phrase.

See:

Purdue

As to whether it is better to call it an adjectival phrase or a participial phrase, I would pick the latter since both its adjectival role and verbal category are specified.