What is the fundamental relationship among speed (u), density (k), and flow (q)?

The representation of the traffic flow is determined by three main characteristics of this: The flow, the density and the speed. The relationship between the three helps to improve the design of the roads as well as all kinds of facilities operations.

The mathematical relationship that groups them is given by the function:

Where,

= Speed

k = Density

q = Flow

Through it it is possible to obtain properties of this by which,

When the density on the road is zero, the flow is also zero because there are no vehicles on the roadAs the density increases, the flow increasesWhen the density reaches a maximum jam density, the flow must be zero because the vehicles will line up from end to endThe flow will also increase to a maximum value, increases in density beyond that point result in flow reductions.Speed is the average speed of space.

During 15 and 16 th century Spain as a beautiful country. they traded goods across the Atlantic ocean.

Explanation:

Spanish empire was very big with a strong naval force. It fought against Ottoman empire, France and in America, Spain wanted its colonies to be independent. Due to the rise of the Portuguese and European powers, Spain lost most of its territories.

Roman Catholic churches were famous in Spain which were brought to America too due to the colonization. Together with Portuguese, Spain entered many international trades. Spanish empire began from 16th century after the arrival of Christopher Columbus after which famous Aztec, Inca and Mayan empire can be seen even today.