How Do You Calculate Secretariat's Speed and Acceleration in the Kentucky Derby?

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To calculate Secretariat's average speed for each quarter-mile segment of the Kentucky Derby, divide the distance (0.25 miles) by the time taken for each segment: 25.2 seconds, 24.0 seconds, 23.8 seconds, and 23.0 seconds. For average acceleration, use the final average speed from the last quarter-mile segment and apply the formula for average acceleration, considering that Secretariat started from rest. The calculations require the defining equations for average velocity and acceleration, which should be referenced from textbook or lecture notes. This approach will yield both the average speeds and the overall acceleration for the race. Understanding these calculations provides insight into Secretariat's remarkable performance.
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Q :
Secretariat ran the Kentucky Derby with times for the quarter mile of 25.2 s , 24.0 s , 23.8 s , and 23.0 s .
(A) Find his average speed during each quarter-mile segment .
(B) Assming that Secretariat's instaneous speed at the finish line was the same as the average speed during the final quarter mile , fine his average acceleration for the entire race . ( Hint : recall that horeses in the Derby start from rest )


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Use the defining equations for average velocity and average acceleration. The equations should be in your textbook or class lecture notes. You should have posted those equations to begin with!
 

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