1. The problem statement, all variables and given/known data A projectile is launched from the top of some function (pick one other than a line) For a given speed, find the launch angle to maximize the range 2. Relevant equations projectile parabola equation (I haven't figured out latex yet t_t ) y = x*tan(theta) - (g/2)*(x/( v*cos(theta) ))^2 3. The attempt at a solution I tried sinx, cosx, e^x and x^2, set up so they look look like a downward sloping hill from the origin First I equate the projectile equation with whichever function I'm trying to the projectile parabola, then I differentiate implicitly with respect to theta. I solve for dx/d(theta), set this to zero, and solve for theta. With the first three, I end up with theta = arctan(v^2 / gx), for the parabola, I end up with a trig equation that I can't solve. That the first three end up with the same answer seems a little fishy, was just wondering if anyone had any experience with a problem like this.