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6.7 To measure g (the acceleration due to gravity), the following experi- ment is carried out. A ball is dropped from the top of a 100-m-tall building. As the object is falling down, the time t when it passes sensors mounted on the building wall is recorded. The data measured in the experiment is given in the table. 100 80 20 0 h (m) t (s) 60 40 2.02 2.86 3.50 4.04 0 4.51 In terms of the coordinates shown in the figure, the position of the ball h as a function of the time t is given by h = h₁-1½gt², where h。 = 100 m is the initial position of the ball. Use linear regression to best fit the equation to the data and determine the experimental value of g. 田田田田田田 田田田田田田 A

6.7 To measure g (the acceleration due to gravity), the following experi- ment is carried out. A ball is dropped from the top of a 100-m-tall building. As the object is falling down, the time t when it passes sensors mounted on the building wall is recorded. The data measured in the experiment is given in the table. 100 80 20 0 h (m) t (s) 60 40 2.02 2.86 3.50 4.04 0 4.51 In terms of the coordinates shown in the figure, the position of the ball h as a function of the time t is given by h = h₁-1½gt², where h。 = 100 m is the initial position of the ball. Use linear regression to best fit the equation to the data and determine the experimental value of g. 田田田田田田 田田田田田田 A

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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6.7 To measure g (the acceleration due to gravity), the following experi- ment is carried out. A ball is dropped from the top of a 100-m-tall building. As the object is falling down, the time t when it passes sensors mounted on the building wall is recorded. The data measured in the experiment is given in the table. 100 80 60 40 20 0 h (m) t(s) 0 2.02 2.86 3.50 4.04 4.51 In terms of the coordinates shown in the figure, the position of the ball h as a function of the time t is given by h = ho- 12gt², where ho = 100 m is the initial position of the ball. Use linear regression to best fit the equation to the data and determine the experimental value of g. 田田田田田田 田田田田田田 A
Transcribed Image Text:6.7 To measure g (the acceleration due to gravity), the following experi- ment is carried out. A ball is dropped from the top of a 100-m-tall building. As the object is falling down, the time t when it passes sensors mounted on the building wall is recorded. The data measured in the experiment is given in the table. 100 80 60 40 20 0 h (m) t(s) 0 2.02 2.86 3.50 4.04 4.51 In terms of the coordinates shown in the figure, the position of the ball h as a function of the time t is given by h = ho- 12gt², where ho = 100 m is the initial position of the ball. Use linear regression to best fit the equation to the data and determine the experimental value of g. 田田田田田田 田田田田田田 A
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