Author(s)

F. Yang, H. Li & A. Chen

Abstract

According to the competition rules, the criterion of the score is the judgment of an athlete’s action in the air as well as the height in the air. However, the action of an athlete and the height in the air is contradictory because one cannot reach the highest height and finish the maximum twist at the same time. To find out the best method for athletes to get a high score, we designed a new shape of a snowboard course (half-pipe) in order to maximize the time of \“flying” in the air as well as optimizing the twist of an athlete in the air by mathematical computation. What’s more, through mathematical analysis, we designed the optimized time of an athlete soaring through the air from the wall of the half-pipe. The analysis of the motion and model of the snowboard course are also demonstrated by computer to make the conclusion more visual. Keywords: snowboarding, half-pipe, parabolic motion, differential equation.

Keywords

snowboarding, half-pipe, parabolic motion, differential equation