3D Flight Path Vector Analysis
Consider a model airplane whose flight path in three dimensions is described by vector definitions. The displacement vector \(\vec{d}\) represents the overall movement and is composed of horizontal and vertical components.
Part a
Given that the horizontal displacement is represented by \(\vec{h} = (x, y)\) and the vertical component by \(z\), explain how to compute the instantaneous speed and determine the flight direction in the horizontal plane. For instance, assume \(x = 3\), \(y = 4\), and \(z = 2\) for a sample calculation.