Math Component

Launch angle choice
Our main problem in choosing an angle was how to have as minimal wind resistance as possible. We decided there was two ways to go high or go low. The probability of going high enough to escape resistance was very low so we went with a lower angle. The next step was finding an angle that would be low enough to avoid the wind but also have maximum distance. In our research we found 36.5 degrees recommended by several websites, but to account for wind resistance we lowered the angle to 34 degrees. Thirty-four degrees is the angle that will acoount for real life situations, such as wind, in cannon firing, while still shooting the Nerf ball the greatest distance.

Intial Velocity Calculations
Formula for Calculating Distance
R= Vo2 sin2O/g

Refernce Table
g- the gravitational constant (g= 32.2 ft/sec2)

O- measure the launch angle in degrees

R- the distance your projectile flies in the air

Vo2- the intial velocity

Formula for Calculating Intial Velocity
Vo2= Rg/ sin2O

Intial Velocity
Vo2= 0

The intial velocity was zero due to the fact the cannon did not fire.