No. The ship wasn't accelerating between warp 0 and warp 8 in a few seconds. That makes no sense. Otherwise why would Sulu say 'maximum warp' when they were nearing Vulcan. It took them that long to increase to maximum warp.
I have seen the film many times, and each time have noticed that the sequence goes like this:
- Warp factor 0.00 = standing still
Increases to FTL (warp 1) in a few seconds
- Stars stretch, speed indicator reaches Warp factor 0.8, then the camera cuts to outside...
- Ship reaches FTL (warp 1) and zooms off
- In the intervening minutes/hours, the ship increases speed to reach warp 8 (or whatever the max warp is). When it does reach it, Sulu utters the 'maximum warp captain' line, before Chekov announces the mission.
I have seen the film many times, and each time have noticed that the sequence goes like this:
- Warp factor 0.00 = standing still
Increases to FTL (warp 1) in a few seconds
- Stars stretch, speed indicator reaches Warp factor 0.8, then the camera cuts to outside...
- Ship reaches FTL (warp 1) and zooms off
- In the intervening minutes/hours, the ship increases speed to reach warp 8 (or whatever the max warp is). When it does reach it, Sulu utters the 'maximum warp captain' line, before Chekov announces the mission.