Now let’s investigate the relationship between displacement and velocity more closely

Now let’s investigate the relationship between displacement and velocity more closely. For that, we’re going to look at the changing slope of the yversus t graph using Tracker’s Data Tool:

• Double-click on the x vs. t graph to analyze it. (You should see all the x and t data in the table and a blowup of the graph from the Tracker screen.)
• Now click the button for Slope at the top of the graph area. Slide the cursor slowly along the x versus t graph. You’ll see a black line segment showing the instantaneous slope at each point. Note that the value of the slope for each point is shown in the yellow box below the graph.
• Now pick at least three different data times and record the slope of the x versus t graph for that time, using the table below.
• Close the Data Tool  for this x vs. t graph.
• Next, open Data Tool for the vx vs. t graph. (Double-click on the graph.)
• For each of the times recorded in your data table, find and record the value of vx in the table.
• Based on what you see from your data table, describe how you could use an x versus t graph to accurately construct a vx versus t graph.