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Consider the sprint of a Quarter Horse that has a maximum speed of 24 m/s and a maximum acceleration of 5.7 m/s2 (Example 3.17 in the textbook). Model the horse's velocity and acceleration with exponential functions.
a) How far has this horse run at t = 2.0 s ? You need to use integration to answer this question.
b) How far has this horse run at t = 4.0 s ? You need to use integration to answer this question.
c) How far has this horse run at t = 8.0 s ? You need to use integration to answer this question.

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