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Data Definitions

This section collects and defines all the data needed to build the instance models.

Speed

Refname	DD:vecMag
Label	Speed
Symbol	$v$
Units	$\frac{\text{m}}{\text{s}}$
Equation	$v=\|\boldsymbol{v}\text{(}t\text{)}\|$
Description	$v$ is the speed ( $\frac{\text{m}}{\text{s}}$ ) $\boldsymbol{v}\text{(}t\text{)}$ is the velocity ( $\frac{\text{m}}{\text{s}}$ )
Notes	For a given velocity vector $\boldsymbol{v}\text{(}t\text{)}$ , the magnitude of the vector ( $\|\boldsymbol{v}\text{(}t\text{)}\|$ ) is the scalar called speed.
Source	–
RefBy	DD:speedIY and DD:speedIX

$x$ -component of initial velocity

Refname	DD:speedIX
Label	$x$ -component of initial velocity
Symbol	${{v_{\text{x}}}^{\text{i}}}$
Units	$\frac{\text{m}}{\text{s}}$
Equation	${{v_{\text{x}}}^{\text{i}}}={v^{\text{i}}}\,\cos\left(θ\right)$
Description	${{v_{\text{x}}}^{\text{i}}}$ is the $x$ -component of initial velocity ( $\frac{\text{m}}{\text{s}}$ ) ${v^{\text{i}}}$ is the initial speed ( $\frac{\text{m}}{\text{s}}$ ) $θ$ is the launch angle ( ${\text{rad}}$ )
Notes	${v^{\text{i}}}$ is from DD:vecMag. $θ$ is shown in Fig:Launch.
Source	–
RefBy	IM:calOfLandingDist

$y$ -component of initial velocity

Refname	DD:speedIY
Label	$y$ -component of initial velocity
Symbol	${{v_{\text{y}}}^{\text{i}}}$
Units	$\frac{\text{m}}{\text{s}}$
Equation	${{v_{\text{y}}}^{\text{i}}}={v^{\text{i}}}\,\sin\left(θ\right)$
Description	${{v_{\text{y}}}^{\text{i}}}$ is the $y$ -component of initial velocity ( $\frac{\text{m}}{\text{s}}$ ) ${v^{\text{i}}}$ is the initial speed ( $\frac{\text{m}}{\text{s}}$ ) $θ$ is the launch angle ( ${\text{rad}}$ )
Notes	${v^{\text{i}}}$ is from DD:vecMag. $θ$ is shown in Fig:Launch.
Source	–
RefBy	IM:calOfLandingTime