Physics problem about throwing a stone into a well

Question

The diameter of the well is d = 1.3 m, and the distance from the top of the well to the water surface is h = 5 m. What is the minimum velocity required to throw a stone from a point located a = 9 m from the top of the well, so that so that the stone would fall into the water without touching the walls of the well? The stone is thrown from the same height as the top of the well.

Answer 1

Let's start with a graph. Set the origin as the point where you throw the stone from. Thus the near edge of the well is at (9, 0) and the bottom corner of the well water is (10.3, -5).

I'm assuming that the stone will move in parabolic motion and I'm guessing that it will intersect one of those two points, as well as the origin, so find some equations.

Next you get to use calculus to find the slope of the parabolas at the origin and some trig to get equations for horizontal and vertical motion before finally solving for initial velocity.

If you don't want to or can't do all of that, then there is some information missing.