The answer won't be valid because the rotation of the earth becomes statistically significant and alters the location of the finish line at those levels of elapsed time.
Just make sure your track is either south facing (centrifugal assistance) or west facing so your not fighting the rotational force. South-West would be ideal....
This may help where a is acceleration..... :-)
yeah, some mathematician is gonna call me out on this. Wait for it.....!