Some remarks on the time of flight and range of a projectile in a linear resisting medium

Abstract

In view of the recent work by Karkantzakos [Journal of Engineering Science and Technology Review 2 (2009) 76–81], anumber of remarks highlighting the connection between the Lambert W function and the time of flight and range of a projectilemoving in a resisting medium where the retarding force acting on the projectile is proportional to its velocity are made.In particular, we show how each of these quantities can be expressed in closed form in terms of the Lambert W function andindicate how the analysis of the motion becomes greatly simplified by its introduction.

Keywords

• Linear resisted projectile motion
• Lambert W function
• time of flight
• range