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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, ...view middle of the document...

* 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 compound bow, and 50 foot-pounds for the conventional longbow. I then multiplied my answer by 1.356, converting my answers into Newton meters. My answers were 98.9 Nm and 67.8 Nm. I then applied the formula in order to obtain the velocity. The mass in this equation would be that of the arrow, so the equations for the velocities of the two bows, once written out, would look like and , yielding 83.8m/s for the compound bow and 69.3m/s for the conventional longbow.

Angles

Hitting the target is always the goal in archery; however, this requires the arrow to be launched from an angle (. I wanted to see if the arrows being launched at different angles would eventually show which bow would have it arrow cover more distance. In projectile motion, the horizontal and vertical velocities are independent to one another. Thus, you have Vx=V*cos(θ), the horizontal velocity and Vy=V*sin(θ), the vertical velocity

Figure 1 shows...

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