Answer
3.1 x 10$^6$ seconds
Work Step by Step
We have an initial velocity of 0 m/s with a constant acceleration of 9.8 m/s$^2$. We also know that our end velocity is one tenth the speed of light (3 x 10$^8$m/s). Using $v=v_{0}+at$, we solve for $t$.
$t=\frac{(1/10)(3\times10^8m/s)}{(9.8m/s^2)}=3.1\times10^6s$
