The kentucky derby is held at the churchill downs track in louisville, kentucky. the track is one and one-quarter miles in length. one of the most famous horses to win this event was secretariat. in 1973 he set a derby record that would be hard to beat. his average acceleration during the last four quarter-miles of the race was . his velocity at the start of the final mile was about . the acceleration, although small, was very important to his victory. to assess its effect, determine the difference between the time he would have taken to run the final mile at a constant velocity of and the time he actually took. although the track is oval in shape, assume it is straight for the purpose of this problem.