1. Used is an adjective (naming something gramaticallly related to a noun).
Their is an adjective (naming something gramaticallly related to a noun).
Railroad is a noun (person, place, thing, or idea).
2. To make the sentence sound normal, you would put (The teacher said "Cowboys still exist today.")
3. Dismantle would be the proper word, since it means "To break apart or undo."
4. Yet is an adverb (modifying word or phrase to another adverb, and adjective, or a verb.)
5. Reconciled means "Fix or restore relations to"
I hope this helps!!