An object is lifted rapidly into the air at a constant speed and then dropped. Its height

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An object is lifted rapidly into the air at a constant speed and then dropped. Its height h in feet after x seconds is listed in the table.image


(a) At what time does it appear that the object was dropped? 


(b) Identify the time interval when the height could be modeled by a linear function. When could it be modeled by a nonlinear function? 


(c) Determine values for the constants m, a, and b so that f models the data.image


(d) Solve f(x) = 100 and interpret your answer.

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