Expressing distance as a function of time

ameliabossom

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Nov 18, 2020
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Im currently in the University of Washington Precalc class and im having trouble with our piecewise functions.
Heres the problem:
A baseball diamond is a square with sides of length 90ft. Assume Edgar hits a home run and races around the bases (counterclockwise) at a speed of 18 ft/sec. Express the distance between Edgar and home plate as a function of time t. (Hint: This will be a multipart function.) Try to sketch a graph of this function
I know that the first part is 18t if 0 is less than or equal to x is less than or equal to 5. But thats all i got
 
From 1st to 2nd base what will the time range be? When you are about to leave from 1st base how far are you from home plate? What is the distance from home plate to 2nd base? As you are running from 1st to 2nd is the distance you are from home plate increasing in a linear fashion, quadratic or something else?
 
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