Say an object is traveling at 1m/s^2. The question is how long can it travel at this speed? Someone might think that once it starts going 300,000 km/s that it could no longer go 1m/s^2 because of the speed of light barrier. But then we would have to assume that it started out from a state of rest in order to determine that. But then how is 1m/s^2 different than 1m/s^2 if I said that it had already traveled at 1m/s^2 for say an hour. Couldn't it slow down and say that it is only going 1m/s for a while, then asumme it is at rest and then pick up and get back going to 1m/s^2? I think an object could travel at 1m/s^2 for an infinite amount of time. I don't think there is a limit to how long something can stay in the same state of acceleration.
Then what about mass increase? Well, if I assumed that I was at rest then traveled at 1m/s^2 for a while, I would feel a little pressure at the back of my chair, but would I actually feel my weight increase as this happened for a longer duration? I don't think I would feel an increase in weight, after all I could slow down to 1m/s and then say I was traveling at a constant speed with no increased value of mass because it was equivalent to me being at rest! I think for the whole duration of the trip I would only detect a mass increase that would remain constant for the whole duration of the trip that would equate to me only traveling 1m/s^2.
Also, I don't think this would allow someone to travel as fast as a photon. I don't think it would allow them to even come 1m/s closer to the speed of light, as they would measure the speed of light to be 300,000 km/s faster than them the whole time they traveled at 1m/s^2. After all how hard could it be to make sure that you go 1m/s faster than you where going before? And then relative to what? Should an object hit an invisable barrier because he has gone 300,000km/s faster than another object, even though he still measures the same velocity of the speed of light?
Then what about mass increase? Well, if I assumed that I was at rest then traveled at 1m/s^2 for a while, I would feel a little pressure at the back of my chair, but would I actually feel my weight increase as this happened for a longer duration? I don't think I would feel an increase in weight, after all I could slow down to 1m/s and then say I was traveling at a constant speed with no increased value of mass because it was equivalent to me being at rest! I think for the whole duration of the trip I would only detect a mass increase that would remain constant for the whole duration of the trip that would equate to me only traveling 1m/s^2.
Also, I don't think this would allow someone to travel as fast as a photon. I don't think it would allow them to even come 1m/s closer to the speed of light, as they would measure the speed of light to be 300,000 km/s faster than them the whole time they traveled at 1m/s^2. After all how hard could it be to make sure that you go 1m/s faster than you where going before? And then relative to what? Should an object hit an invisable barrier because he has gone 300,000km/s faster than another object, even though he still measures the same velocity of the speed of light?