You could mount it on a D60, but you wouldn't have Autofocus with it (you'd need to use Manual Focus)
The current entry level Nikon dSLR bodies (D40, D40x, D60, D3000, D5000) do not have a built in focus motor. So, you'll need to use lenses that do have a motor built in if you want Autofocus. In the Nikon lineup, that means using AF-S (Silent Wave Motor focusing) lenses to get Autofocus with these bodies. All other Nikon dSLR bodies (D50, D70, D80, D90, D100, D200, D300, etc.) do have motors built into the camera body and would Autofocus with that lens.
That lens isn't worth much on the used market. So, I probably wouldn't base a camera purchase decision over it.