Data Definitions

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

RefnameDD:vecMag
LabelSpeed
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–
RefByDD:speedIY and DD:speedIX
RefnameDD: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
Source–
RefByIM:calOfLandingDist
RefnameDD: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
Source–
RefByIM:calOfLandingTime