Here the \(x\) axis is along the ground, \(R\) is the range, and \(h\) is the maximum altitude. where \(\mathbf{v}_{0}\) is the initial velocity of the cannonball, called the muzzle velocity. Typicall...Here the \(x\) axis is along the ground, \(R\) is the range, and \(h\) is the maximum altitude. where \(\mathbf{v}_{0}\) is the initial velocity of the cannonball, called the muzzle velocity. Typically in real life you will not know the cartesian components of the velocity vector ( \(v_{x 0}\) and \(v_{y 0}\) ); instead you are more likely to know the magnitude of the muzzle velocity \(v_{0}\) and the launch angle \(\theta\).
