FYKOS Year 35 Series 1 Problem 2 — two - second rule · FYKOS 35 #35.1.2

Physics · mechanics

Problem

The two-second rule is a driving principle which states that a safe time distance between two vehicles is at least two seconds long. Suppose a traffic junction where a

n_1

-lane road changes into a

n_2

-lane one. The maximum allowed speed in the first section is

v_1

. What is the lowest possible maximum speed

v_2

that can be allowed in the second section so that there is no traffic jam and everyone can follow the two-second rule? The average length of a car is

l

and it can change its speed in leaps.

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