3

We know that $c$ is the largest speed in the universe. How about the acceleration, does it has limit?

Qmechanic
  • 220,844
kiss my armpit
  • 1,082

2 Answers2

4

As Sachin says, there is no limit to acceleration. In fact you can show this by considering an observer hovering at a fixed distance from a black hole. As described in this question, the acceleration required to maintain a fixed distance from a black hole is given by:

$$ a = \frac{GM}{r^2}\frac{1}{\sqrt{1-\frac{r_s}{r}}} $$

where $r_s$ is the radius of the event horizon. As $r \rightarrow r_s$ the term $\sqrt{1-r_s/r} \rightarrow 0$ and the acceleration goes to infinity.

Community
  • 1
John Rennie
  • 367,598
1

There's no theoretical limit to acceleration. On the surface of Black Holes, the acceleration is literally infinite, for example. However, there'll be practical challenges to achieve that.

Earth is a Spoon
  • 5,130