(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Maximizing range of projectile from some curve

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