In summary, the 3D kinematics equation describes the motion of an object in three-dimensional space, incorporating variables such as position, velocity, and acceleration. It allows for the analysis of an object's trajectory by taking into account the influences of forces and initial conditions, providing a comprehensive framework for understanding motion in various applications, including physics and engineering.
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kwnmanu94
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How exactly did the terms in parenthesis of the equation (14) become (15)?
I don't even know what the Transport Theorem is about?
What textbook is this? Since the text directly references Transport Theorem I would expect it to be described earlier. Perhaps look in the index or try compare with transport theorem where you can see it relates the coordinate-wise time derivative of a point coordinated by two different coordinate system that rotate relative to each other.