1. The problem statement, all variables and given/known data A projectile is fired vertically from the Earth's surface with an initial speed of 11.4 km/s. Neglecting air drag, how far (in meters) above the surface of the Earth will it go? 2. Relevant equations (1/2)mv^2 -GmM/R 3. The attempt at a solution KEi+PEi = KEf+PEf (1/2)mv^2 - GmM/R = -GmM/(R+h) R+h = -(GM)/((1/2)v^2-GM/R) h = -(GM)/((1/2)v^2-GM/R) - R and plugging everything in, I got -1.744x10^8 So I tried using kinetic and potential energy to solve for h, but keep getting a negative number. Am I doing this wrong?