To measure g (the acceleration due to gravity) the following experi-mentis carried out. A ball is dropped from the top of a 30-m-tall building. Asthe object is falling down, its speed v is measured at various heights bysensors that are attached to the building. The data measured in the experi-ment is given in the table.田田田田田田x (m)510152025田田v (m/s)9.8514.3217.6319.3422.41田田田田In terms of the coordinates shown in the figure (positive down), the speed ofthe ball v as a function of the distance x is given by v? = 2gx. Using linearregression, determine the experimental value of g.Use 4 decimal places.

Answered: Image /qna-images/answer/291f2ebe-92eb-474e-96f6-82c731306788.jpg

Answered: d out. A ball is dropped from the top…

d out. A ball is dropped from the top of a 30 et is falling down, its speed v is measured a hat are attached to the building. The data me given in the table. x (m) 5 10 15 (m/s) 9.85 14.32 17.63

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 22P

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Question

To measure g (the acceleration due to gravity) the following experi-ment
is carried out. A ball is dropped from the top of a 30-m-tall building. As
the object is falling down, its speed v is measured at various heights by
sensors that are attached to the building. The data measured in the experi-
ment is given in the table.
田
田
田田
田
田
x (m)
5
10
15
20
25
田
田
v (m/s)
9.85
14.32
17.63
19.34
22.41
田
田
田
田
In terms of the coordinates shown in the figure (positive down), the speed of
the ball v as a function of the distance x is given by v? = 2gx. Using linear
regression, determine the experimental value of g.
Use 4 decimal places.

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