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Basketball shooting angle and movement trajectory correlation research based on differential model

Guang Lu

Basketball competition is intense, shooting technique is the key to a team scoring. This paper applies differential equation modelling knowledge to make research on basketballmovement rules in the air, and gets basketball air movement trajectory formula. According to trajectory formula, it gets rim any distance status best release speed, angle. Combine with fluid mechanics knowledge, it carries out force analysis on basketball air movement, and it finds out basketball speed and air resistance function relationships by combing differential equationmodelling knowledge. Then it carries out basketball force analysis and gets basketball air movement trajectory formula, so that finds out basketball airmovement rules to make contributions to basketball playersÂ’ shooting technique improvement