Secretariat ran the 1.25 mi long Kentucky Derby with timesof 25.3 s, 24.6 s, 23.

Question

Secretariat ran the 1.25 mi long Kentucky Derby with timesof 25.3 s, 24.6 s, 23.8 s, 22.5 s, and 22.2 s for each of the quarter mile segments. (a) Find his average speed during each quarter-mile segment. First segment? _____ft/s
Second segment? _____ft/s Third segment? _____ft/s
Fourth segment? _____ft/s
Fifth segment? _____ft/s
(b) Assuming that Secretariat's instantaneous speed at thefinish line was the same as the average speed during the finalquarter mile, find his average acceleration for the entire race.(Hint: Recall that horses in the Derby start from rest,anduse vf = vi + at.) _____ft/s^2 (a) Find his average speed during each quarter-mile segment. First segment? _____ft/s
Second segment? _____ft/s Third segment? _____ft/s
Fourth segment? _____ft/s
Fifth segment? _____ft/s
(b) Assuming that Secretariat's instantaneous speed at thefinish line was the same as the average speed during the finalquarter mile, find his average acceleration for the entire race.(Hint: Recall that horses in the Derby start from rest,anduse vf = vi + at.) _____ft/s^2

Explanation / Answer

averagespeed during each quarter-mile segment. (.25mile=1320ft)

Firstsegment? 1320/25.3= 52.17ft/s
Secondsegment? 53.66 ft/s Thirdsegment? 55.46ft/s
Fourthsegment? 58.67ft/s
Fifthsegment? 59.46ft/s


(b) Assuming that Secretariat's instantaneous speed at thefinish line was the same as the average speed during the finalquarter mile, find his average acceleration for the entire race.(Hint: Recall that horses in the Derby start from rest,anduse vf = vi + at.)

vf=59.46ft vi=0 t=25.3 +24.6 + 23.8 + 22.5 +22.2 = 118.4s

59.46 = 0 + a(118.4) >> a=.502f/s2

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