Initial density function g(x,0) is given as in the pictures uploaded.

a)Find the g(x,t) function.Take Ug=Um(1-g/g_m)

b)Conservative change function is given in terms of dimensionless variables as:

-dg/dt + (1-g^2)dg/dx =0, - 0

b1) Which condition must g provide for function to oppose the traffic rules.

b2) What is vehicles maximum velocity (Umax)=?

b3) inital condition is given as: g(x,0)= 1-x. Find the value of g(1,1)=?

2 sm Sm L>0. f(x,o) Son +) [++(2+)], xco 0L 1 2 Sm/2) g(x,0)= gm. xL &m/2 2 sm Sm L>0. f(x,o) Son +) [++(2+)], xco 0L 1 2 Sm/2) g(x,0)= gm. xL &m/2