I remember a film from college physics that simulated driving at the speed of light. As you got close to the speed of light, say .9 Warp, the telephone poles along the road appeared to bend. The light reflected from the tops of the poles took longer to get to your eye than that reflected from the bottom, so you were seeing the tops at a different time than the bottoms.

You'll see the shuttle craft where it was, unless it's behind you. Then you'er out running it's lights and reflected light and you won't see it.