Remember that one Star Trek movie where Sulu is commanding his own starship... and he has it like going full tilt and a half screaming across the galaxy... to rescue Kirk and McCoy from a Klingon prison planet I think... Or to join the battered Enterprise to fight off a Evil Klingon ship...
I seem to remember as they were highballing through space... that their images even in the control room of the starship would occasionally lengthen as if effected by light speed... PUSH THE PEDAL TO THE METAL... THEN PUSH IT SOME MORE!!!!
Although there is a vacuum in space... I thought it would have been a neat effect if they had shown chips of the starships outer paint flying off... especially off the front edge of the saucer...