1
GATE CE 2022 Set 2
MCQ (More than One Correct Answer)
+1
-0

For a traffic stream, V is the space mean speed, k is the density, q is the flow. Vf is the free flow speed, and kf is the jam density. Assume that the speed decreases linearly with density.

Which of the following relations is/are correct?

A
$$q = {k_j}k - \left( {{{{k_j}} \over {{V_f}}}} \right){k^2}$$
B
$$q = {k_j}V - \left( {{{{k_j}} \over {{V_f}}}} \right){V^2}$$
C
$$q = {V_f}V - \left( {{{{V_f}} \over {{k_j}}}} \right){V^2}$$
D
$$q = {V_f}k - \left( {{{{V_f}} \over {{k_j}}}} \right){k^2}$$
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