Apparently the man has a beard and the woman is veiled.
People are complaining to the police, who are warning people not to film and spread such videos. Rumors are that the couple have left Jordan and that the car was not theirs.
A spokesman for the Public Security Directorate said that the video contradicts all laws, customs and traditions, and an investigation was opened to verify its authenticity, its location, and the people who appeared in it to take the necessary legal measures regarding it.
This isn't the only controversial video in the Arab world this past week.
This grainy video showing a woman dancing and briefly flashing her breasts outside a car last week, also in Jordan, caused a stir.
And this video of a Saudi girl wearing skimpy clothing (by Saudi standards) and smoking also caused controversy.
As did this very brief video of two Saudi women with veils and see-through tops - meaning their bras were visible. News media called this "almost naked."
This idea of women walking around in ways that would barely turn heads in the West seems to be a pattern now, in line with women removing headscarves in Iran. It seems to be a trend that will challenge the conservatism of the Arab world.