Distance_Back_Car(t) = Distance_Back_Car(t - dt) + (Chg_Dist_Back) * dt
INIT Distance_Back_Car = 0
Chg_Dist_Back = Velocity_Back_Car*1.47
DOCUMENT:  1.47 converts mph back to ft/sec

Distance_Front_Car(t) = Distance_Front_Car(t - dt) + (Chg_Dist_Front) * dt
INIT Distance_Front_Car = Carlengths_Between*16
Chg_Dist_Front = Velocity_Front_Car*1.47
DOCUMENT:  1.47 converts mph back to ft/sec

Velocity_Back_Car(t) = Velocity_Back_Car(t - dt) + (- Decel_Back_Car) * dt
INIT Velocity_Back_Car = Initial_Velocity_Back
Decel_Back_Car = if time<(5+Rxn_Time_Back) then 0 else Decel_Rate_Back*0.682
DOCUMENT:  0.682 converts deceleration in ft/sec^2 to mph^2

Velocity_Front_Car(t) = Velocity_Front_Car(t - dt) + (- Decel_Front_Car) * dt
INIT Velocity_Front_Car = Initial_Velocity_Front
Decel_Front_Car = IF time<5 then 0 else Decel_rate_Front*0.682
DOCUMENT:  0.682 converts deceleration in ft/sec^2 to mph^2

Carlengths_Between = 4
Decel_Rate_Back = 28 {ft/sec^2}
Decel_rate_Front = 28 {ft/sec^2}
Initial_Velocity_Back = 45 {mph}
Initial_Velocity_Front = 45 {mph}
Rxn_Time_Back = 0.45 {sec}

Time Specs Settings 
Standard: Range 0-12, dt = 0.25, Integration Method = Euler's