Braking Distance Model  

This model can be used between the constant acceleration model and tailgate model or it can stand alone. The graphs of velocity vs. distance can be used to derive a relationship which is sometimes seen in high school algebra books.

THE MODELS
STELLA Version Vensim Version
Excel Version
NetLogo Version

NETLOGO MODEL



STELLA MODEL

[Diagram Level | Equations Level | Graphs ]


Distance(t) = Distance(t - dt) + (rate_of_change_of_distance) * dt
INIT Distance = 0 {ft}
rate_of_change_of_distance = Velocity
Velocity(t) = Velocity(t - dt) + (rate_of_change_of_velocity) * dt
INIT Velocity = vel_in_ft_per_sec
rate_of_change_of_velocity = IF (TIME >= React_Time) THEN(Acceleration) ELSE(0)
Acceleration = -28 {ft/sec^2}
Init_Vel = 50 {mph}
React_Time = .5 {sec}
vel_in_ft_per_sec = Init_Vel*5280/3600

Time Spec Settings
Range: 0-6; dt = 0.05; Integration Method = Runge-Kutta 4



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