A ball is tossed into the air so that the height after 1, 4, and 5 seconds is as given in the following table.  If the relationship between the height of the bll (h) and the time (t) is quadratic, the the relationship can be written as h=at^2+bt+c Use the information in the table to write a system of three equations in three variables a, b, and c.  Solve the system to find the exact relationship between h and t. t h 1 192 4 96 5 0 a=_________ b=_________ c=__________

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