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 kj is the jam density. Assume that the speed decreases linearly with density. Which of the following relation(s) is/are correct?

$q = k_j k - \left(\frac{k_j}{v_f}\right) k^2$

$q = v_f k - \left(\frac{v_f}{k_j}\right) k^2$

$q = v_f v - \left(\frac{v_f}{k_j}\right) v^2$

$q = k_j v - \left(\frac{k_j}{v_f}\right) v^2$

GATE 2022 Civil Engineering Q28 — Civil Engineering

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Civil Engineering · Transportation Engineering - Traffic Flow Theory

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Transportation Engineering - Traffic Flow Theory has appeared in GATE Civil Engineering 11 times across 7 years (2020, 2021, 2022, 2023, 2025, ...).

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