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Question: GHR car following model

Question:GHR car following model

Christopher2222 5785 Maple
June 25 2013
1

The general formula of GHR (Gazis-Herman-Rothery), the most well known car following model, is given by

an - acceleration of vehicle n implemented at time t
v - speed of follower vehicle
deltax and deltav - relative spacing and speeds respectively between follower and leader vehicle at a
                               previous time (t-tau), and tau is driver reaction time
m, l and c - constants to be determined.

If we use Chandlers (1958) values for the constants, m=l=0 and the sensitivity constant c proposed at 0.37 sec-1 and also for the time lag (tau) they recommended 1.5 sec.

How can we graph the velocity vs time for 10 cars?
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