Does the fuel thrust in rockets have a “maximum speed” to which it can accelerate an object?

Question

If we assume we are in a perfect vacuum in space, where there’s no friction or anything to slow us down, at what point would bursts of fuel from thrusters stop increasing our speed? And would they even?

Now, I understand that by einstein, we need infinite energy to accelerate to speed of light, but i cant intuitively see how a rocket wouldnt constantly speed up in a vacuum when given constant bursts of rocket thrust. Im sure im missing something pretty simple here, but nevertheless.

In: 4

Answer 1

You need more energy to achieve the same acceleration at some point, even if your rocket fuel is infinite the maximum thrust of the rocket does limit the top speed. Relativity speeds and its are effects are far beyond this

This is because the energy difference between 21000mph –> 22000 mph is smaller than the energy difference between 63000 mph –> 64000 mph. Even in vacuum this counts.

The real question is, does this approach a limit when t –> infinite