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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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