# Projectile Motion in Archery Essay

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Archery, a sport that dates back to centuries before today, has been modernized to become more efficient and high tech. The Egyptian made the first complex bow in 2800 BC. The bow was made from sheep intestines and the arrow was light and efficient enough to be shot from 400 yards away and still penetrate the armor used at that time. Archery was a skill set that was prized in the military, especially in Rome. However, in 16th century a new tide was turning in Europe, firearms were slowly replacing the bow and arrow as military weapons. Other parts of the world were not as fast to leave behind archery this weapon. The people of the Far East employed archery in warfare until the 19th century, while people in Central and South Africa still …show more content…
In order to do this I would have to figure out the some of the different aspects* that affect projectile motion and then use these aspects to ultimately find which bow had a better trajectory.

* The aspects of projectile motion I will be exploring are velocity, angles, gravity, distance, and height.
Projectile Motion Projectile motion is the act of any object moving through the air or space, acted on only by gravity and air resistance1, if there is any. In the case of archery, it is the act of the arrow being released, flying over x distance, and landing at any given point due to the push of gravity. Projectile motion often occurs in the shape of a concave down parabola. The shape of this parabola depends on the projectile angle of the arrow. The draw force of the bow will determine the velocity at which the arrow will be launched.
Velocity
The mass of the arrow used in the table2 below is 00.0282 kg

This table shows how much work is put into the compound bow and conventional longbow via draw force. Since Work= Force∗Distance, the answers in the last two columns are obtained by the formula Flbs ∗ ((dfn-1-dfn)/12). Flbs being the pounds force and df, the distance from full draw. Following this formula I calculated the launch distance. For the compound bow, I did 10∗((0.5-0.0)/12), getting approximately 0.42.
To get the velocity I got the individual sums of the last two columns in the table, 73 foot-pounds for the

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