Question

The following data was taken during a student's experiment with an object moving at a relatively constant velocity. Use the data to create a position-time graph (on the accompanying graph paper). Be sure to include a best-fit line. After the graph is completed, use your best-fit line to calculate the average speed of the object. Show speed calculations below.​

Answer 1

Based on the best-fit line, the average speed of the object is equal to 6.15 m/s.

What is a scatter plot?

A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

What is a position vs time graph?

A position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled (covered) by an object from its starting position with respect to the time when it is started moving.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function from the best-fit line is given by:

y = 6.35x + 0.86

What is a slope?

In Mathematics, the slope of a straight line on a position vs time graph simply refers to the ratio of displacement to time interval and it represents the average speed.

For the average speed, we have:

Average speed, ΔV = Δd/Δt

Average speed, ΔV = (40 - 8)/(6.2 - 1.0)

Average speed, ΔV = 32/5.2

Average speed, ΔV = 6.15 m/s.

Read more on scatterplot here: brainly.com/question/6592115

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