I am currently calculating the numerical solution to a vehicle in motion stopping.
I have used an Euler method where the initial kinetic energy T is calculated with 1/2mv^2.
The Euler method then reduces the kinetic energy in terms of friction and wind resistance. Tn+1 = Tn + h*f(x)
where f(x) = B + Cv^2 and B, C are the constants for friction and wind.
After each iteration I have used the new kinetic energy to calculate the velocity for the next value. i.e Tn+1 = 1/2mv^2
v = sqrt((2*Tn+1)/m)
The Euler loop then continues until the Kinetic energy is zero and nh is the distance.
When plotting the results Kinetic energy against Distance I have a line. This should be a curve should it not?
Am I calculating the velocity correctly? Are there any problems with my calculations etc. Any help would be greatly appreciated