If you had a rocket with unlimited fuel and it was continuously firing, would the rocket keep accelerating to a faster and faster speed, or is there a speed limit where acceleration stops
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5$\begingroup$ Theoretically you'll keep accelerating to a greater percentage of the speed of light, but never reach it (it's a mathematical asymptote for anything with mass) $\endgroup$– Ezra BaileyCommented Feb 2, 2018 at 13:18
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$\begingroup$ Unfortunately a rocket with unlimited fuel could never lift up from launch pad on Earth, unlimited thrust and unlimited tank volume would be necessary. If assembeled in orbit, an unlimited number of transfer flights from ground would be necessary to deliver unlimited fuel. $\endgroup$– UweCommented Feb 2, 2018 at 16:34
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$\begingroup$ Duplicate of physics SE question here physics.stackexchange.com/questions/100730/… $\endgroup$– bendlCommented Feb 2, 2018 at 17:04
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$\begingroup$ math.ucr.edu/home/baez/physics/Relativity/SR/Rocket/rocket.html $\endgroup$– user7073Commented Feb 5, 2018 at 18:38
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would the rocket keep accelerating to a faster and faster speed, or is there a speed limit where acceleration stops
The rocket would keep accelerating and would get ever closer to the speed of light in vacuum. It will not reach that in finite time though. It would never actually stop accelerating, though speed gain would slow down.
