Suppose that Secretariat ran the Kentucky Derby with times of 25.5 s, 23.6 s, 25

Question

Suppose that Secretariat ran the Kentucky Derby with times of 25.5 s, 23.6 s, 25.0 s, and 23.5 s, for the quarter mile.
(a) Find his average speed during each quarter-mile segment.
first segment Correct: Your answer is correct. ft/s 51.7647
second segment Correct: Your answer is correct. ft/s 55.9322
third segment Correct: Your answer is correct. ft/s 52.8
fourth segment Correct: Your answer is correct. ft/s 56.1702
(b) Assuming that Secretariat's instantaneous speed at the finish line was the same as the average speed during the final quarter mile, find his average acceleration for the entire race. (Hint: Recall that horses in the Derby start from rest.)
Incorrect: Your answer is incorrect.

Explanation / Answer

So we know the ending speed, 56.1702 ft/s, and initial speed, 0 ft/s. We can find the total amount of time passed by adding up all the lap times.
t=25.5+23.6+25.0+23.5
t=97.6 seconds
Now we assume that it takes 97.6 seconds to reach 56.1702 ft/s and use the following equation to find acceleration:
a=v/t=(56.1702-0)/97.6

a=.5755 m/s2

Hope that helps

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