1. The problem statement, all variables and given/known data I won't be able to provide the specific problem (in terms of numbers). I was hoping for a conceptual solution. A ball is thrown. From its initial location, it lands on a shelf a given distance away. I am given the distance to the shelf, the height of the shelf, and the initial angle of incidence. I am required to find the final displacement in the x direction, as well as the initial velocity of the projectile. 2. Relevant equations I have attempted to use one and two dimensional kinematic equations with no lucky. Specifically: a trajectory/path equation (yf)=tan(theta)(xf)-(g/(2vi^2cos2(theta)))*xf^2 and the one dimensional equation for a free falling body vyf^2 =vyi^2-2g(yf-yi) 3. The attempt at a solution I realize that the projectile hits the point of the height of the shelf twice during its trajectory, once during each half of the parabola. Therefore, the y component velocity that I could get from the one dimensional free falling equation seems less than useful to me, as I can't tell those two points apart. The trajectory/path equation requires both the final x position and the initial velocity, which I do not have. This equation has the upside of being 2D, however, without having the proper 1D equation to complement, I do not think I can use a parametric strategy to solve. Assistance before the morning? Thank you.