So, you need a ship with zero mass. Or you could do it like in Star Trek:

1) Create a warp bubble around the ship
2) Ship does not move inside the warp bubble
3) Warp bubble moves with speed of light or higher
4) Thus relatively to the track your ship is moving with the speed of light, BUT in terms of physics the ship is stationary.

Problem solved.

Ooops, sorry, this is not my line of text