We know that $c$ is the largest speed in the universe. How about the acceleration, does it has limit?
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3Possible duplicate: http://physics.stackexchange.com/q/101985/2451 – Qmechanic Apr 06 '14 at 08:59
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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.
John Rennie
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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
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High amounts of energy are not required for a high acceleration, since the time scale at which this occurs can be small. – fibonatic Apr 06 '14 at 09:57
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John Rennie's example is clear enough: the acceleration doesn't change the energy since it's perpendicular to the velocity vector. (Assuming a circular orbit). – MSalters Jun 11 '14 at 10:40