I have a story. We were playing a Star Trek game (this was around 1993, so forgive me if I don't recall the exact game). I was playing the ship engineer, and the crew was tasked with dealing with a raider in a distant system (so no support) that had a technologically advanced ship of unknown origin. Our ship was limited to Warp 4 (or 3, exact number irrelevant), while the raider could achieve Warp 5. While looking through the rulebook, I came across a chart showing how warp levels worked. The warp numbers existed as stable plateaus of power that required a power climb above the plateau level as you approached it, but then fell to the lower power to maintain the warp speed. In looking at the chart, I saw that the power needed to climb over the hump for Warp 4 was higher than the stable power for 5 -- that, in fact, we could get close to warp 5 if we redlined the engines -- at least to give chase enough to find the raider's base.
So, I ran this past the GM, showing the chart, and got the nod that we could try this. I RP'd presenting the possibility to the Captain (another player), and prepared the effort -- we wouldn't be able to chase for long, but we could possibly keep the raider on sensors. The confrontation went as we expected (our ship was slightly more powerful in combat, if slower), and the raider broke off at Warp 5. The captain ordered the chase, I rolled the check the GM and I had discussed, and succeeded! And... the engines immediately broke down and we had to limp to dock.
I didn't play another session.