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Range and flight time of quadratic resisted projectile motion using the Lambert W function
Journal article   Peer reviewed

Range and flight time of quadratic resisted projectile motion using the Lambert W function

Chokri Hadj Belgacem
European journal of physics, Vol.35(5), pp.55025-7
01/09/2014

Abstract

function Lambert projectile motion quadratic air resistance
We study projectile motion with air resistance quadratic in speed. An approximation of a low-angle trajectory is considered where the horizontal velocity, v x , is assumed to be much larger than the vertical velocity, v y . The explicit solutions for the range and flight time are expressed in terms of the secondary branch of the Lambert function, . In addition to their theoretical importance, the results obtained will be of interest to teachers involved in undergraduate physics courses.

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