First of all, I just want to take the time and thank anyone who helps me with this, it is greatly appreciated. 1. The problem statement, all variables and given/known data We take a mounted slingshot where you can adjust the launch angle and pull the rubber band back to a set position that is the same everytime. We launched it from 4 angles 10 times taking the mean of the displacement of each angle. This was done for 10,20,30 and 40 degree angles with respective displacements 5.3m, 8.2m, 9.3m and 10.4m. This is all assuming no sources of error such as wind, discrepencies in how perfect the sling was pulled back into the same position each time, etc. Now this is what is asked: Determine each angle's initial velocity. Once the initial velocity has been established, develop a relationship between the angle of elevation of the slingshot and each of these: 1) the horizontal range of the slingshot 2) the inital velocity Reworking the range formula I determined that the respective initial velocities are these 12.3, 11.2, 10.3 and 10.2. Initial velocity formula I used: v=(Rg/(sin(2θ))^(1/2) 2. Relevant equations Now the problem is, how can I determine a relationship when the initial velocities are different? When I first looked at this I thought to myself "wow, this is going to be easy", thinking that I would just create the formulas to determine this information via the angle. But I didn't think about how there would be different velocities with now way of showing a real relationship, at least, that I know of. 3. The attempt at a solution There is really nothing for me to attempt. I have no idea where to start.