# Tolerability of extremely high acceleration for an extremely short period?

I've been wondering about this for a while. So let's assume a ship accelerates at 1 million G for an extremely short period of time, such that its total velocity change was (say) 1cm/s. Would the ship or its passengers suffer damage, and if so how much? Is there any level of velocity change where immense accelerations are safe/survivable?

Using $$g\approx10\,\mathrm{m/s^2}$$ for the standard acceleration of gravity on Earth, so $$a=10^7\,\mathrm{m/s^2}$$ and $$\Delta v=a\Delta t$$ we get $$\Delta t=1\times10^{-9}\,\mathrm{s}$$, that is, the extremely short period is about 1 nanosecond.
Plugging that into $$\Delta s=\frac12a\Delta t^2$$ we get that the object moves 5 picometres, 0.1 the Bohr radius of the hydrogen atom. I don't think the ship or its passengers will notice that tiny movement. ;)