1. The problem statement, all variables and given/known data I am currently trying to find a way to determine the relationship between launch height and range for a projectile launched at less than horizontal. Would vary launch height to and measure range. I need a directly proportional equation or at least a linear relationship. 2. Relevant equations In next part 3. The attempt at a solution Sh = Vh*t Sv = Vov*t + 1/2*a*t^2 Where the launch velocity components are: Vv = v*sin(launch angle) Vh = v*cos(Launch Angle) Therefore, Sh = v * cos(launch angle) * t so t = Sh/v*cos(launch angle) Sv = v*sin(launch angle) * t + 1/2*a*t^2 Substituting time, Sv = v*sin(launch angle) * (Sh/ v * cos(launch angle)) + 1/2 * a * (Sh/ v * cos(launch angle))^2 This is as far as I have got however I need to find a way to show the direct relationship between launch height and range. I am assuming now this isn't possible due to the quadratic, however can anyone think of a solution?