Maximizing average speed with an electric car

[jakobnev]

A while back there was a thread asking how fast you should go to maximize averege speed on a 1000 mile trip, I decided to try and solve a slightly simpler problem, i.e. Infinite trip, and charging stations everywhere:

#include <stdio.h>

int main(){

  double cdA  =       0.7;   // m2
  double crr  =       0.008;
  double mass =    1500;     // kg
  double para =     150;     // w
  double batCap=  44000;     // wh
  double chrgRte= 60000;     // w
  double timeLoss=    2;     // minutes
  double power, range, time, avg, vel;

  printf("#  speed     power   range    time     avg\n");

  for(int spd=10;spd<=250;spd+=5){
   vel=spd/3.6;
   power = para + vel*(0.5*1.225*vel*vel*cdA + crr*mass*9.81);
   range = vel*(batCap*3.6)/power;
   time = range/(vel*3.6);
   avg = range/(timeLoss/60+time+batCap/chrgRte);

   printf("%8.0i%10.2lf%8.2lf%8.2lf%8.2lf\n",spd,power,range,time,avg); 
  }
}

I was a bit surprised at how high your optimum speed is.