Archery, a sport that dates back centuries, has been modernized to become more efficient and high-tech. The Egyptians 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 meters away and still penetrate the armor used at the time. Archery was a skill prized in the military, especially in Rome. However, in the 16th century, a new turning point was taking place in Europe: firearms were slowly replacing the bow and arrow as military weapons. Other parts of the world have not been so quick to leave archery this weapon behind. The populations of the Far East used archery in warfare until the 19th century, while the populations of central and southern Africa still use it today for hunting and intertribal combat. Today, archery in many parts of the world is seen by some as a recreational sport and by others as a competitive sport. Because of this, the shapes of the bow and arrow have undergone many changes since the first bow and arrow design. The three main types of bows today are the recurve bow, the compound bow, and the longbow. Apart from this, there are also three types of arrows: carbon arrow, aluminum arrow and wooden arrow. Due to different types of materials, the distance a shot covers is relative to each bow and arrow. To shoot an arrow, you need to think about the target and from which angle it is most appropriate to shoot. There are many factors to keep in mind when doing this. Such as the speed of your arrow, the optimal height you want and the distance you want to cover. In my exploration, I wanted to see how different aspects of projectile motion would affect the compound bow and the convex…center of the card…arrow to reach the optimal height and return. Once I had the gravity value, I found that it would be helpful to calculate the time (t) it took for the arrow to reach its optimal height and return to the ground. The equation I used to figure this out was v=u+a(t), where v is the final velocity, u is the initial velocity, and a is the acceleration. I then replaced a(t) with g(t) since gravity (g) is a constant value. I did this because gravity has no effect on horizontal speed, but speeds up and slows down vertical speed. The regular equations for acceleration in both horizontal and vertical velocity are ax=0 and ax=-g. So I decided to use a 45° angle as the reference angle, since it achieves the greatest range. Compound bow Conventional long bow0=59.255818 m/s−9.78 m/s2