The behavior of objects falling near Earth's surface depends on the mass of Earth. On Mars, a much smaller planet than Earth, things are different. If Galileo had performed his experiment on Mars, he would have obtained the following table of data. t = seconds V = feet per second 0 0 1 12.16 2 24.32 3 36.48 4 48.64 5 60.80 (a) Show that these data can be modeled by a linear function. For each additional 1 second in time there is     in speed of  feet per second. Find a formula for the function. V(t) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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The behavior of objects falling near Earth's surface depends on the mass of Earth. On Mars, a much smaller planet than Earth, things are different. If Galileo had performed his experiment on Mars, he would have obtained the following table of data.

t = seconds V = feet per second
0 0
1 12.16
2 24.32
3 36.48
4 48.64
5 60.80
(a) Show that these data can be modeled by a linear function.
For each additional 1 second in time there is     in speed of  feet per second.

Find a formula for the function.
V(t) = 
 
 
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