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Braking Distance Model |
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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.
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 SettingsRange: 0-6; dt = 0.05; Integration Method = Runge-Kutta 4
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