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Physics of Punting

The physics of punting is similar in respect to throwing the football, however, is calculated in a much easier manner.  A punters objective is to maximize both distance the ball travels, and the hang time (time ball is in the air).

Distance is so the other team is as far away from the endzone as possible, and the hang time allows the tacklers to get as close as possible to the returner to limit the distance of the punt return. Due to the ball behaving as a projectile once punted, the punter’s overall objective is to maximize punt velocity, and achieve the angle of punt necessary to kick the desired distance.

Hang time is calculate with given equation: T = v₀*sin(θ)/4.9

V₀=initial velocity, θ = angle of kick from horizontal

The range of the kick can be calculated by: R= (v₀²*sin(2θ))/9.8

Just like throwing air resistance is a factor is calculated as such:

                                    Punter punting

                                                                                                                                            Air drag = .5(density of air)(drag coefficient)(cross sectional area)(velocity)²

Then by factoring in the air drag the overall range and height can be calculated. To achieve maximize distance and accuracy the ball should also be punted with rotation added to reduce the cross sectional area and in turn reduce the air drag.