While it's imopossible to know whether the missile fired from the vls in that recent clip is the same missile that hit the ship, seconds later in another shot - one can pretty safely say the missile hitting the ship was travelling under mach 1. Even assuming 20 meter wide ship (which it isn't, it's closer to 10 meters) the time missile needs to cover the distance from edge of shot (at most 3 widths of the ship, counting in the skewed perspective as well) points to a subsonic speed. Taking in more realistic ship measures i guesstimate missile's speed was closer to half a mach.
Now that in itself wouldn't be peculiar, as it is known there are such missiles - like yj62, traveling closer to half a mach than mach one. But what is peculiar is that there's a visible engine glow reflected in the sea surface. I can't find any such examples from a non afterburning turbojet engine - which leads me to think the missile in that shot was actually rocket powered. (if it was ramjet powered it'd travel a lot faster).
Once again, the missile hitting the ship does not have to be the same one being launched.
