I am new on this forum and I really really need your help hope that i did post my problem in the good forum.
I am doing a master in transport and I have this exercice to do:
one a one-way carriageway, the relation between space mean speed Vs (km/h) and density k (veh/km) is: Vs=v0exp(-k/km), where v0=100km/h.
The relation between flow q and density k is q=kv for heterogeneous traffic and q=k.Vs for heterogeneous traffic, so q=k.v0exp(-k/km).
I have to find by differentiation k but I am lost. I tried everything but cannot find k. k is suppose to be equal to 50.
Could you help or guide me a bit.