Q: Does the word "stay" mean the same thing in "We stayed in Hawaii for a week." and "The smell stayed in the room."?

A: different meanings

Q: Does the word "head" mean the same thing in "The beer had a large head of foam." and "The head of the compass needle is pointing due north."?

A: different meanings

Q: Does the word "cut" mean the same thing in "Cut a ticket." and "Cut orders."?

A: the same meaning

Q: Does the word "footage" mean the same thing in "They had stock footage of lightning, tornados, and hurricanes." and "He edited the news footage."?

A:
the same meaning