deletions | additions       diff --git a/Methodology Video Data.tex b/Methodology Video Data.tex  index fc15648..e062fe0 100644  --- a/Methodology Video Data.tex  +++ b/Methodology Video Data.tex 
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Velocity and acceleration measures are derived through differentiation from position and velocity over time respectively. These are 2-dimensional vectors with a magnitude (speed and acceleration) and a heading. The heading of the velocity vector is typically used to determine the orientation of the vehicle.  However, derivative measures are more sensitive to tracking error from It should be noted however that each successive derivation increases  pixel precision. As such, these measures require smoothing, precesion error for that measure. A velocity measure requires twice as many pixels as a position measurement. Similarly, an acceleration measurement requires three times as many pixels as a position measurement. This type of error can be compensated for with moving average smoothing  over five to ten frames. Instantaneous measures, particularly a short window (e.g. 5 frames). At this time,  acceleration spikes, measurements  are therefore more difficult still too noisy  to detect reliably. be useful for instantaneous observations. Higher camera resolutions sould solve this problem in future applications.  \subsubsection{Size of data}