NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part. In a $400-$m race, runner A reaches her maximum velocity $v_A$ in $4s$ with constant acceleration and maintains that velocity until she reaches the halfway point with a split time of $25s.$ Runner $B$ reaches her maximum velocity $v_B$ in $5s$ with constant acceleration and maintains that velocity until she reaches the halfway point with a split time of $25\mathrm{.}2s.$ Both runners then run the second half of the race with the same constant deceleration of $0\mathrm{.}08\frac{m}{s^2}.$

Determine the position of the winner relative to the loser when the winner reaches the finish line.

The position of the winner relative to the loser when the winner reaches the finish line is m$.$