Treffer: ANALYTICAL AND NUMERICAL APPROACH IN THE COURSE MECHANICS FOR TEACHING THE DYNAMICS OF TWO-DIMENSIONAL PARABOLIC MOTION.

This study aims to investigate the effectiveness of integrating analytical and numerical approaches in teaching the concept of two-dimensional parabolic motion with air resistance in a university-level Mechanics course. The study involved 70 third-semester physics students from Negeri Semarang University (UNNES) in 2022. Using a one-shot case study design, students were first introduced to an analytical approach through mathematical derivation of motion equations. Subsequently, a Python-based simulation application was developed employing three numerical methods: Euler, Feynman-Newton, and Runge-Kutta. Students were tasked with analyzing projectile motion trajectories by varying the air resistance coefficient, using tools of their choice--including manual calculations, Excel, or Python. Data were collected through a written test at the end of the course and evaluated based on completeness and depth of conceptual understanding. The results showed that 81.43% of students achieved a Good, Very Good, or Excellent level of understanding, while only 18.57% fell in the Medium category. These findings demonstrate that the integration of numerical visualization with analytical methods can significantly enhance students' grasp of abstract physical concepts and support the development of computational skills in physics education. [ABSTRACT FROM AUTHOR]

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