@article{ref1,
title="The Mathematics of Turns, Evasive Maneuvers, Lane Changes, and Passing",
journal="Collision: the international compendium for crash research",
year="2009",
author="Bergh, Peter",
volume="4",
number="1",
pages="67-72",
abstract="This study describes, in mathematical terms, the movement of a vehicle as it goes through a turn, an evasive maneuver, a lane change, or a passing maneuver. Specifically, how far the vehicle travels and how long it takes the vehicle to complete the maneuver are investigated. A lane change is described as a turn in one direction followed by a turn in the opposite direction, so that the vehicle ends up in a direction parallel to its original direction. A passing maneuver is described as being two coupled lane-change problems. Numerical experiments are conducted using the mathematical formulas developed in the paper.<p />",
language="",
issn="1934-8681",
doi="",
url="http://dx.doi.org/"
}