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 12.16 24.32 3 36.48 4 48.64 60.80 (a) Show that these data can be modeled by a linear function. For each additional 1 second in time there is -Select-- :) in speed of feet per second. Find a formula for the function. V(t) = (b) Calculate V(13). V(13) - Explain in practical terms what your answer means. This means that seconds after the release the velocity of the rock is feet per second. (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?
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 12.16 24.32 3 36.48 4 48.64 60.80 (a) Show that these data can be modeled by a linear function. For each additional 1 second in time there is -Select-- :) in speed of feet per second. Find a formula for the function. V(t) = (b) Calculate V(13). V(13) - Explain in practical terms what your answer means. This means that seconds after the release the velocity of the rock is feet per second. (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
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
Transcribed Image Text: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
60.80
(a) Show that these data can be modeled by a linear function.
For each additional 1 second in time there is (---Select---
+ in speed of
feet per second.
Find a formula for the function.
V(t) =
(b) Calculate V(13).
V(13) =
Explain in practical terms what your answer means.
This means that
seconds after the release the velocity of the rock is
feet per second.
(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?
ft/sec per sec
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