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/gm) b)Co

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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/gm)
b)Conservative change function is given in terms of
dimensionless variables as:
-dg/dt + (1-g^2)dg/dx =0, -
∞<x< ∞ , t >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)=?

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 Gm B Co 1 (99.13 KiB) Viewed 81 times

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 Gm B Co 2 (9.66 KiB) Viewed 81 times

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