Spanish Physics Exam

Sergio Ramos, in a panic due to the responsibility he held in his boots, miscalculates the parameters of a penalty kick and the ball, with mass m, is kicked at an angle of Pi/4 with the vertical and a speed equal to half the escape velocity. The ball never reaches the goal. Assuming the radius and Earth's mass are known, R_T and M respectively, and negligible Earth rotation and air friction...