%0 Journal Article %T Global Characteristics of the Envelope of Family of Trajectories in Resistive Media %A Haiduke Sarafian %J American Journal of Computational Mathematics %P 431-440 %@ 2161-1211 %D 2020 %I Scientific Research Publishing %R 10.4236/ajcm.2020.103024 %X In our recent article [1], we discussed the universal geometric characteristics of the envelope of family of trajectories of projectiles projected with the same speeds and different velocities in a vertical plane under the sole influence of gravity; our current investigation is its natural extension. As shown in [1] even for the simplest case where gravity is the only acting external agent literature overlooked reveling the characteristics of the envelope such as its arc-length, the surface area of the enclosed surface and etc. Calculation leading to these has carried out mostly longhand [1]. The current extended version embodies a realistic scenario where the projectiles in addition to gravity encounter linear velocity-dependent media resistance. In order to fulfil objectives similar to [1], we develop two distinct strategies obtaining the analytic equation for the envelope. On one hand, we solve the equations of motion applying traditional longhand approach. On the other hand, we adopt a Computer Algebra System (CAS), e.g. Mathematica [2] [3]. Having these outputs at hand, via mixed-mode calculation¡ªsome longhand and some via CAS¡ªwe explore its global geometric characteristics such as its arc-length, the surface area of the enclosure. Because of the calculation complexities we could not have achieved our set goals. %K Velocity-Dependent Resistive Media %K Envelope of Trajectories %K Computational Mathematics and Physics %K < %K i> %K Mathematica< %K /i> %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=102748