a. Show that these data can be modeled by a linear function, and find a formula for the function. b. Calculate V(10) and explain in practical terms what your answer means. c. Galileo found that the acceleration due to gravity of an object falling near Earth's surface was 32 feet per second per second. Physicists normally denote this number by the letter g. If Galileo had lived on Mars, what value would he have found for g?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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a. Show that these data can be modeled by a linear
function, and find a formula for the function.
b. Calculate V(10) and explain in practical terms
what your answer means.
c. Galileo found that the acceleration due to
gravity of an object falling near Earth's surface
was 32 feet per second per second. Physicists
normally denote this number by the letter g. If
Galileo had lived on Mars, what value would he
have found for g?
Transcribed Image Text:a. Show that these data can be modeled by a linear function, and find a formula for the function. b. Calculate V(10) and explain in practical terms what your answer means. c. Galileo found that the acceleration due to gravity of an object falling near Earth's surface was 32 feet per second per second. Physicists normally denote this number by the letter g. If Galileo had lived on Mars, what value would he have found for g?
10. Dropping Rocks on Mars 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
1
12.16
2
24.32
3
36.48
4
48.64
60.8
Transcribed Image Text:10. Dropping Rocks on Mars 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 1 12.16 2 24.32 3 36.48 4 48.64 60.8
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