- A line of best fit which best represents the student's data has been drawn on the distance vs. time graph shown in the image attached below.
- If only the variables D and t are to be used, the quantities which the student should graph in order to produce a linear relationship between the two quantities are D and t².
- A graph of D and t² has been plotted in the image attached below.
- The value of g based on the slope of this graph is equal to 5 m/s².
What is a scatter plot?
A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a linear function?
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
Part A.
A line of best fit which best represents the student's data has been drawn on the distance vs. time graph shown in the image attached below.
Part B.
If only the variables D and t are to be used, the quantities which the student should graph in order to produce a linear relationship between the two quantities are D and t² because D = 1/2gt².
Part C.
A graph of D and t² has been plotted in the image attached below.
Part D.
Finally, we would calculate the value of g by using the slope of this graph.
Slope = Δy/Δx
Slope = 0.5/0.1
Slope = g = 5 m/s².
Read more on scatterplot here: https://brainly.com/question/27134399
#SPJ1
