Currently, the lost time of each stage is 4 seconds, and intersection critical v/c ratio is set to be 0.75 to avoid cycle failur
es caused by randomness of arrival traffic. Solve the following problems: 1) identify critical lane groups and solve their sum of flow ratios; 2) minimum cycle length and optimal cycle length; 3) Autonomous vehicle technologies make traffic movement at intersections more efficient. The lost time of each stage is reduced to 2 seconds, saturation headway is reduced by 10%. If the intersection demand does not change, calculate the critical v/c ratio corresponding to the minimum cycle length in 2).
1 answer:
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Answer:
a) 17.20
b) 11.31
c) 14.42
d) 12.65
Explanation:
(a)
The girl is at the origin of the x,y coordinates (i.e 0,0,0 )
the position vector of the car at time 't' secs is
at t=2s, the position vector is
Therefore, the the distance between the car and the girl is
s = 17.20
(b)
The position of the car at t = 0s is
The position of the car at t = 2s is
The distance of the car traveled in the interval from t=0s to t=2 s is as follows:
(c)
The position vector of the car at time 't' secs is
The velocity of the car is
the direction of the car's velocity at t = 2s is going to be
Thus; The speed of the car is
(d) the car's acceleration is:
The magnitude of car's acceleration at t=2s is