Question: The data in these tables represent the heights of two objects at different times during free fall. i. ii. a. Calculate the finite differences for

The data in these tables represent the heights of two objects at different times during free fall.
i.

ii.

a. Calculate the finite differences for each table.
b. What is the degree of the polynomial function that you would use to model each data set?
c. Write a polynomial function to model each set of data. Check your answer by substituting one of the data points into your function.

Time (s) 0 1 23 4 5 6 Height (m) 80 95.1 100.4 95.9 81.6 57.5 23.6 Time (s) height m463.1 112.4 151.911816201.5 211.6

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