Longitube, I see your point, but here's a better explanation

Einsteins theory of relativity states that you can never reach the speed of light. You can accelerate at 9.8 m/s^2 forever, and still never reach the speed of light. It seems counter-intuitive, but there you have it. You can perceive an infinite acceleration. An outside observer would see your speed asymptotically approaching c, but you would perceive your acceleration as constant unless you change this.

This is due to the time dilation that occurs at relativistic speeds. As you approach the speed of light, your perception of time slows down. In other words, 1 year to you could be 10 years to an outside observer in a fixed frame of reference. Because of this, you perceive a constant acceleration even though you are accelerating at a slower rate to an outside observer.

Basically, with reduced numbers:

Let's simplify things and say that the speed of light is 100 m/s.

As you approach the speed of light, the speed at which you perceive time decreases, at a rate of 1/√(1-v^2/c^2) (I apologize for the messy formatting, I'm not the best with bbc.)

In other words, time runs 15 percent slower at .5 c and slows asymptotically as you approach c. As you approach c, your acceleration slows to an outside observer: however, because your perception of time is slowing at an identical rate, it cancels the slowing. You can perceive your acceleration to last forever. But you will seem to be going *very slowly* to anyone else.