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Line 20:
Line 20: + + + + + + + + + + + + + + + + + + +
Added speeds function and table for its coefficients
[[File:Speed Graph.png|frameless|897x601px]]
[[File:Speed Graph.png|frameless|897x601px]]
The formula for speed is a polynomial y = ax^2 + bx + c, where y is speed, x is distance. The following table shows coefficients that fit the curves in the graph above quite closely:
{| class="article-table"
|-
! Player Count !! a !! b !! c
|-
| 2 Players Current || 0.000000089397301 || 0.000315421241811 || 0.093460656990069
|-
| 3 Players Current || 0.000000127407058 || 0.00037106459886 || 0.121522536287242
|-
| 4 Players Current || 0.000000145257097 || 0.000396842226627 || 0.140355233002292
|-
| 2 Players Legacy || 0.000000066574598 || 0.000275799322662 || 0.104916730328495
|-
| 3 Players Legacy || 0.000000121705155 || 0.000363289157305 || 0.131692131398014
|-
| 4 Players Legacy || 0.000000176765302 || 0.000437183289738 || 0.153868601986249
|}