Question

# Make a quick plot of the cumulative times vs. cumulative distances for Student 2. To clarify,...

Make a quick plot of the cumulative times vs. cumulative distances for Student 2. To clarify, your first data point would be (400 m, 64 s) and your second data point would be (800 m, 128 s), etc... From the slope of a linear regression of your graph, calculate the average speed (in m/s) of Student 2 as he runs the 6 laps. Round your answer to 2 decimal places.

Lap times (s) for 2 students running on a track

 Time 1 Time 2 Time 3 Time 4 Time 5 Time 6 student 1 55 112 162 218 273 333 student 2 64 128 192 260 331 393

From the table given, the data points will be as shown below. for student 2.

 Position Time 400 64 800 128 1200 192 1600 260 2000 331 2400 393

If we draw a graph with time on the X axis and distance travelled on the Y axis,

the slope of the graph will be equal to the average speed.

Here,

The graph is shown below.

From the graph's linear fit,

Average speed = slope = 6.0273 m/s

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