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High Jump Analysis

by Paige Cooke


Submitted : Spring 2012

This project analyzes the track and field event, high jump, mathematically. The factors of motion, velocity, force, time, gravity, mass, and position are all analyzed to determine how the high jump works. The first and second stages of high jump make up the approach consisting of linear motion and angular motion of the run. The third stage is the high jumper’s flight through the air over the bar; this is called projectile motion. The calculations of velocity for the linear motion are calculated. The second stage’s approach method was rationalized using centrifugal force. The formula for projectile motion and force explains the third stage.

Each of these stages is examined to find the respective results and conclusions. Stage one shows that the run generates velocity, which then continues during stage two. Angular motion shows the conclusion that the force due to the curve run generated the horizontal velocity. Projectile motion conclusions were that horizontal velocity should be less than vertical velocity to attain the higher heights. Vertical velocity is generated from the energy exerted by the athlete during the jump. Projectile motion demonstrates that a greater initial velocity (calculated from the horizontal velocity and vertical velocity) generates a higher jump. The third stage also showed that the force of gravity will be increased if high jumpers are heavier, so a lighter body weight is favorable. Thus are the determinations of this project.

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Advisors :
Arcadii Grinshpan, Mathematics and Statistics
Lisa Olson, USF: Track and Field
Suggested By :
Paige Cooke