Forgive me as I'm a Canon user so some terminology may not be 100% consistent with Nikons.
I would recommend using Shutter Priority mode and experimenting 1/250 of a second (and panning with the plane...imagine you are aiming a gun at it), a slower (lower number) shutter speed will give some great panning results, but it's an acquired skill so you'd probably be safer with a higher number to avoid camera shake. Depending on the light, I would also use exposure bracketing to try and get a balanced exposure - if it's bright, the camera is likely to expose for the sky (even if spot metering is selected, as the plane will be small in the finder).
Use autofocus unless you're comfortable with quick manual adjustments, and consider setting it to Ai Servo (or whatever the Nikon equivalent is) so that it is continously adjusting focus.
If need be, turn the ISO up to insure a reasonable depth of field (f8 would be pretty good as you should get the whole of the plane in focus).
Shoot in continous mode, but select RAW as there is likely to be some work needs doing in post processing.
None of this is 100% gospel, but hopefully some good starting points.
Cheers,
James