<![CDATA[Many physics concepts are still not explained using mechanical equations, such as Newtonian and Lagrangian, especially in the context of downwardly vertical motion. This research investigates aspects of downwardly vertical motion that may or may not be affected by air friction. To examine this phenomenon, the researchers detail and compare the Newtonian and Lagrangian equations. Apart from that, there is a need for extensive literature studies on classical mechanics, including these theories (Newtonian, Lagrangian, and Hamiltonian). The method used in this study is a mathematical theoretical study by calculating the equation of downwardly vertical motion using partial differential equations from the Lagrangian equation to obtain the equation of downwardly vertical motion which is influenced by air friction. The results of this research reveal three Lagrange equations, namely the equations for acceleration, speed and position in the context of vertical motion which are influenced by air friction.]]>
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