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Pauru

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So a guy at work today said "if you have a rocket with unlimited fuel(hypothetically speaking of coarse) at a constant accelleration, and was in space. It's velocity could reach like 99% the speed of light" I argued that it was not possible, as it approached the speed of light it's mass would increase and you would require more energy to increase the velocity. I realize the question is flawed already with the fuel at an inflate amount.

Anyway I then looked at liner velocity equations v=v1 + adt... So let's just use some numbers v= ? v1= 0 a= 9.8 and dt = infinite. After I look at this equation it made me think he was right.

So I have a few questions. First is it possible for a rocket to achieve this? At what velocity would the rocket stop accelerating? did I use the right equations? Is there a better equation to use? And what equation takes into account for the increase in mass as velocity increase?

I'm sorry if these questions are annoying you guys probably run into them a lot.

Anyway thanks for your time and help

-Pauru