PART I. After analyzing video data from a drone, we identified the location of six different

vehicles in video frames two seconds apart. The location was measured in terms of linear

distance in feet from some reference point. These distances are presented in Table $1$ and

are available in an Excel file on Carmen.

Table $1.$ Positions of identified vehicles

in image frames taken two seconds apart

Determine the space$-$mean speed and time$-$mean speed in miles per hour.

Estimate the "overall" density by

Determining the average of the five spacings obtained between consecutive

vehicles at time $t_o$ and, again, at time $t_o+2$

Page $1$

Calculating densities at times $t_o$ and $t_o+2$ from the average spacings at these times

Estimating the "overall" density as the average of time $t_o$ density and the time $t_o+2$

density

Report your density in vehicles per mile.