Q: "A police vehicle in an urban area." Does this mean that "A cop car in an urban area"?
A: yes

Q: "A man riding public transportation sits holding a black bag." Does this mean that "a man on public transportation holds a black bag."?
A: yes

Q: "A man drives a piece of farm equipment in a field." Does this mean that "A person is farming."?
A: yes

Q: "A young hairdresser in a red dress does a customers hair." Does this mean that "a woman styles a man's hair"?
A:
it is not possible to tell