In a 1/4- mile race, runner A reaches her maximum velocity Av in 4 s with constant acceleration and maintains that velocity until she reaches the halfway point with a split time of 25 s. Runner B reaches her maximum velocity vB in 5 s with constant acceleration and maintains that velocity until she reaches the halfway point with a split time of 25.2 s. Both runners then run the second half of the race with the same constant deceleration of 0.3 2 ft/s . Determine

(a) The race times for both runners,

(b) The position of the winner relative to the loser when the winner reaches the finishline.

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