30. D mmh 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 accelera- tion during the last four quarter-miles of the race was +0.0105 m/s². His velocity at the start of the final mile (x = +1609 m) was about +16.58 m/s. 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 +16.58 m/s and the time he actually took. Although the track is oval in shape, assume it is straight for the purpose of this problem.

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30. D mmh 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 accelera-
tion during the last four quarter-miles of the race was +0.0105 m/s². His
velocity at the start of the final mile (x = +1609 m) was about +16.58 m/s.
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 +16.58 m/s and the
time he actually took. Although the track is oval in shape, assume it is
straight for the purpose of this problem.
Transcribed Image Text:30. D mmh 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 accelera- tion during the last four quarter-miles of the race was +0.0105 m/s². His velocity at the start of the final mile (x = +1609 m) was about +16.58 m/s. 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 +16.58 m/s and the time he actually took. Although the track is oval in shape, assume it is straight for the purpose of this problem.
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