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Velocity Along Z (VZ)

Returns a z component of the difference between the velocity vectors of two coordinate system markers.

Format

VZ (To Marker, From Marker, Along Marker, Reference Frame)

Arguments

 

To Marker	(Required) The coordinate system marker whose velocity is being measured.
From Marker	(Optional) The coordinate system marker whose velocity is subtracted off. If you don't specify this argument, it defaults to the global origin.
Along Marker	(Optional) The coordinate system marker along whose z-axis the velocity is measured. If you don't specify this argument, it defaults to the global z-axis.
Reference Frame	(Optional) The coordinate system marker in which the time derivatives are calculated. If you don't specify this argument, it defaults to the ground reference frame.

symbol

Mathematically, VZ is calculated as follows:

where:  

•	is the position vector from the global origin to the To Marker, T.

•	is the time-derivative of with respect to the Reference Frame, R.

•	is the position vector from the global origin to the From Marker, F.

•	is the time-derivative of with respect to the Reference Frame, R.

•	is the unit vector along the z-axis of the Along Marker, A.

list2+

The following function returns the z component of the velocity vector between marker_T and marker_F. The vector is expressed in the coordinate system of marker_A. All time-derivatives are calculated in the reference frame of marker_R.

VY(marker_T, marker_F, marker_A, marker_R)

Learn more about velocity functions.