Experience/Experienced: "With" or "In"?

Very simple question this time around, folks! (Have) experience or (be) experienced both generally create a connotation of living through something and/or learning about it. The big question is which preposition follows which word, or if they change based on what concept follows them.

My closest guess is:

I have experience / I am experienced + with + general noun (cars, animals, etc.)

I have experience / I am experienced + in + field of knowledge (physics, French cuisine, etc.)

A coworker of mine believes the answer may be in word order:

I have linguistics/teaching/computer experience.

I still feel it’s possible to say experience in/with, but his addition to the argument isn’t invalid whatsoever. I do think sometimes my ascertainment is totally valid (to me), and other times there seem to be giant loopholes. Can anyone give a really thorough breakdown of which prepositions to use and where?