OK, it appears the lens has its own built-in AF motor. As far as I can see, both cameras will take this lens.
I checked the specs for both cameras as well.
NB: I'm not 100% sure, and you had better get confirmation from some Nikon users here.
Yeah, acronyms, eh? - They seep in after a while, then a new crop come up
Now to some acronyms... a complicated reference of names you might see