OK!!! so here's what i did....

1 - speed of your car @ 10.4 seconds = 60mph which is 96,560meters/hour = 96,560meters/3600seconds

2 - acceleration of your car = (96,560meters/3600seconds) * (1/10.4seconds) =~ 2.57905meters/second^2

3 - to find distance we need to integrate this number twice.... we get 2.57905meters/second^2 * ((t^2)/2). it's t since we are integrating with respect to time

4 - set all that equal to 1/4 mile = 402 meters and solve for t....

sqrt(402/(2.57905 / 2)) = t =~ 17.656 seconds

behold the power of math!!!!