QW physics ground
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Acceleration on ground
Here we have friction f.
f = 4 in TDM and 6 in TF.
Theoretical part omitted.
Results.
Ultimately correct start. Start moving without turning (cos(gamma) = 1). At one frame before reaching v_max (reached speed is sv1 = v_max * (1-a*T)/(1-f*T)) start turning: cos(gamma_best) = [(1 - a * T)/ (1 - f * T)] * V_max / v.
Ultimate reachable ground speed is v_ultimate = v_max * sqrt((a / f) * [(2 - a * T) / (2 - f * T)])
cos(gamma) dexreases to [(1 - a * T)/ (1 - f * T)] * sqrt((a / f) * [(2 - a * T) / (2 - f * T)]) = = 0.592, gamma = 53.7 degrees in TDM.
The bigger speed the less acceleration. At some point it is easier to accelerate in air than on ground. So unless you are jumping over very wide ditch maximal speed to which it make sense to accelerate on ground is v_reasonable = sqrt((V_max*V_max*aT*(2-aT) - 30^2)/(fT(2-fT)))
Ultimate and reasonable ground speed:
--------------------------------------------------------------------------------------------------------- | type | v_max | ultimate ground speed | reasonable ground speed | | | |-------------------------------|-------------------------------| | | | 72fps | 77fps | 72fps | 77fps | |-----------------------------------------------------------------------|-------------------------------| | tdm player | 320 | 494.9 | 495.7 | 486.5 | 486.7 | |-----------------------------------------------------------------------|-------------------------------| | scout | 450 | 572.4 | 573.0 | 567.5 | 567.8 | |-----------------------------------------------------------------------|-------------------------------| | sniper | 300 | 381.6 | 382.0 | 374.2 | 374.1 | |-----------------------------------------------------------------------|-------------------------------| | soldier | 240 | 305.3 | 305.6 | 296.0 | 295.6 | |-----------------------------------------------------------------------|-------------------------------| | demoman | 280 | 356.2 | 356.6 | 348.2 | 348.0 | |-----------------------------------------------------------------------|-------------------------------| | medic | 320 | 407.0 | 407.5 | 400.1 | 400.1 | |-----------------------------------------------------------------------|-------------------------------| | hwguy | 230 | 292.6 | 292.9 | 282.8 | 282.4 | |-----------------------------------------------------------------------|-------------------------------| | pyro | 300 | 381.6 | 382.0 | 374.2 | 374.1 | |-----------------------------------------------------------------------|-------------------------------| | spy | 300 | 381.6 | 382.0 | 374.2 | 374.1 | |-----------------------------------------------------------------------|-------------------------------| | engineer | 300 | 381.6 | 382.0 | 374.2 | 374.1 | |-----------------------------------------------------------------------|-------------------------------| | civilian | 240 | 305.3 | 305.6 | 296.0 | 295.6 | ---------------------------------------------------------------------------------------------------------
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