^Anytime we see the ships moving at warp speed and the camera is not "pacing" the ship.
How do you know how fast the camera traveling at when it is not "pacing" the Enterprise since you've got no reference point like a planet or starbase?
Man, everyone on this site is on-edge right now, aren't they? At least it's nice to see that someone besides me is taking artillery right now...
I have my own perspective on some of this. But it'll piss off the fans of Abram's flick, who'll label me a "hater" or something for bringing it up. Ah, well, who cares?
See, the ship's main viewer is not a window. It's a computer monitor.
Most of what we see on the main viewer is not real imagery, but rather computer-augmented representations. We can say much the same for what we see on our TV sets, especially during the TNG era.
We see brightly-lit ships in interstellar space. In reality, you'd be able to see almost nothing. But that wouldn't be very useful, so the image on the main viewscreen (and on our TV sets) is "augmented" to let us see something useful. It's not a "real" image, it's an ICON.
Similarly, in the TNG-era combat shots we see many cases where ships "millions of kilometers" aparts seem, on-screen, to be less than a kilometer apart.
Again, we're not seeing "reality," we're seeing computer-generated ICONS representing those ships, portrayed in a way which shows you what's going on far more easily than seeing distant, faint pinpricks of light.
Think of how modern naval "fleet command" boards are done. They may show the entire Pacific Ocean, or perhaps the Persian Gulf. They'll have little models of the ships in-theater, if we're talking about a classical map-board... or they may have pictographical icons which look like those ships, or they may have symbological icons, and often these can be switched between in real time.
The trick is not to see "reality" but to see the most-easilly interpreted representation of reality.
The stuff we see on-screen in Trek fits that bill far better than it fits any practical "realistic" model, doesn't it?