May i get some help please?

A student collected data about the distance a ball falls over time.
Which type of graph should she use to show the data?

A. bar graph
B.scatterplot
C.circle graph
D.histogram

I think its A

I might use the scatterplot. It should come out dots around a parabolic curve.

distance = (1/2) g t^2

An experiment in conducting to determine how the arm length of a pendulum affects its period do experimental design calls for varying the length of the arm and the mass of the bob

To show the relationship between the distance a ball falls over time, the student should use a line graph. A line graph displays the relationship between two variables on a continuous scale, such as time on the x-axis and distance on the y-axis. This type of graph is ideal for showing trends or changes over time. Therefore, the correct answer is not A.

To determine the correct answer, let's look at the characteristics of each graph type:

A. Bar graph: A bar graph is used to compare different categories or groups. It is best suited for displaying categorical data, such as comparing quantities of different objects.

B. Scatterplot: A scatterplot is used to show the relationship between two continuous variables. It is ideal for displaying data with a continuous, numerical value and examining the relationship between two variables.

C. Circle graph: A circle graph, also known as a pie chart, is used to show parts of a whole or percentages. It is useful for displaying data in terms of proportions or percentages.

D. Histogram: A histogram is used to display the distribution of continuous data. It is particularly suitable for visualizing the frequency distribution or frequency of occurrence of data across different intervals or bins.

Based on the description of the student's data, which measures the distance a ball falls over time, it is reasonable to assume that the data is continuous, as it involves measurements over a continuous range of time. Therefore, the best graph type to display this data would be a scatterplot (B). A scatterplot allows for the visualization of the relationship between two continuous variables, such as time and distance in this case.

So, the correct answer is B, a scatterplot.