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I have completed the data table and the graphs, but I'm stuck on the calculations for the questions. Can anyone please help and explain the

I have completed the data table and the graphs, but I'm stuck on the calculations for the questions. Can anyone please help and explain the steps I should take? Thank you! Also the `y is being used in place of a y with a line over it to indicate the mean of y.

The data table located in the Lab Report Assistant shows data taken in a free-fall experiment.Measurements were made of the distance of fall (y) at each of the four precisely measured times. From this data, perform the following operations:


Time, t (s)

Dist. y (m)

Dist. y (m)

Dist. y (m)

Dist. y (m)

Dist. y (m)

` y

?

t^2

0

0

0

0

0

0

-

0

0

0.5

1

1.4

1.1

1.4

1.5

1.28

0.177012241

0.25

0.75

2.6

3.2

2.8

2.5

3.1

2.84

0.248997992

0.5625

1

4.8

4.4

5.1

4.7

4.8

4.76

0.224499443

1

1.25

8.2

7.9

7.5

8.1

7.4

7.82

0.318747549

1.5625

1. Complete the table.
2. Plot a graph `y versus t (plot t on the x-axis or abscissa).

3. Plot a graph `y versus t2 (plot t2 on the x-axis). The equation of motion for an object in free fall starting from rest is y = 1?2 gt2, where g is the acceleration due to gravity. This is the equation of a parabola, which has the general form y = ax2.
4. Determine the slope of the line and compute an experimental value of g from the slope value. Remember, the slope of this graph represents 1?2 g. (The equations I got from the spreadsheet by doing a polynomial trendline. For y vs t - y=4.9838x^2 - 0.041x. For y vs t^2 - y=0.1164x^2 + 4.7937x)
5. Compute the percent error of the experimental value of g determined from the graph in step 4. (Accepted value of g = 9.8 m/s2).

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