Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_126

3/126 The projectile of Prob. 3/98 is repeated here. By the method of this article, determine the vertical launch velocity \( v_0 \) which will result in a maximum altitude of \( R/2 \). The launch is from the north pole and aerodynamic drag can be neglected. Use \( g = 9.825 \, \text{m/s}^2 \) as the surface-level acceleration due to gravity.