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.

(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.

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

Transcribed Image Text:

x(sec) 0 1 2 h(ft) 0 36 72 108 144 128 3 4 5 6 80 7 0