system
Given the following post, respond as if you're commenting on Reddit:
human
Is there a limit to how fast matter can accelerate?
gpt
Just some napkin math until someone better qualified can come in here and comment:

First of all lets get rid of the word matter, and replace it with a particle that has rest mass. 

The maximum speed a particle with mass can travel is slightly less than 2.99 *10^8 m/s (speed of light rounded)

Based off of what we can actually use with working theories, we are limited to the smallest time frame being a plank second which is 5.39 * 10^-44 s (rounded) Anything less than this and physics *as we currently understand it* breaks down, so I'd rather not hypothesize how that would work. 

So putting these together we have a particle that accelerates from a 0 m/s in your reference frame to 2.99 \*10^8 m/s in 5.39\*10^-44 s.



2.99 \* 10^8 / 1 / 5.39\*10^-44 = 

**5.56\*10^51 m/s^2** This is the limit, the actual acceleration will be slightly less than this. 

edit: Double this number because you can go from - 5.56\*10^51 m/s^2 to + 5.56\*10^51 m/s^2. Knew I'd forget something, just didn't think it would be that obvious.