## 5 Conclusions
#### a.1.3 Standard Uncertainty Type A for the 3 rd Test Jump  
\[u_{A3}=0.05\;\text{m}\cdot\text{s}^{-1}\]\(\overline{v}_{vertISA}=4.64\) m\(\cdot\)s\({}^{-1}\)  
The consequential standard uncertainty type B \(u_{B}\) was determined by following the individual standard uncertainty type B \(u_{Bj}\) in Table 11:  
\(u_{B1}\)--The origin of uncertainty \(Z_{1}\) is an error in defining a time interval between the shots;  
\(u_{B2}\)--The origin of uncertainty \(Z_{2}\) is an error defining a real scale of the reference length \(RL\), which includes:  
* An error in the linear measurement;
* Deduction error;
* Temperature influence on the measuring tool and RL. \(u_{B3}\)--The uncertainty source \(Z_{3}\) is the error in defining the reference length of \(RL_{n,n+1}\) for a point S\({}_{n,n+1}\) and includes:  
* The error in a locating of a position of reference points RP\({}_{n}\) and point S\({}_{n,n+1}\);
* The error in defining \(RL_{distance}\);
* The error in defining \(RL_{hor}\) and \(RL_{vert}\);
* The error in defining the angle \(\beta\);
* The pixel error and deduction error. \(u_{B4}\)--The uncertainty source of \(Z_{4}\) is the error in defining \(s_{vertphoto}\), which includes a pixel error and deduction error;  
\(u_{B5}\)--Uncertainty of atmospheric pressure (uncertainty in the air pressure measuring device, deduction, temperature impact on the device);  
\(u_{B6}\)--Uncertainty of the air temperature measurement (uncertainty in the air temperature measuring device, deduction, temperature influence on the device);  
\(u_{B7}\)--Uncertainty caused by the provision that the air density calculated from the measured air temperature and air pressure above the ground is not changing in the sector of the measurement of the vertical parachute speed (i.e., calculated air density from the ground to 70 m is not changing). Details regarding the calculation of \(u_{B1}\) and the procedure, including comments, are provided in the section below. Calculation results are provided in Table 4 for the uncertainty ranging from \(u_{B2}\) to \(u_{B7}\). The calculation of the uncertainty \(u_{B1}\) at a specified time interval between shots [29] was carried out as follows: The time interval of the sequence scanning for the KYOCERA FINECAM M410R was \(t\) = 0.3 \(\pm\) 0.01 s. This change of the time interval can cause a change of the interval speed ranging from 3 to 7 m\(\cdot\)s\({}^{-1}\) by a maximum value of \(\pm\)0.13 m\(\cdot\)s\({}^{-1}\). Hence, the uncertainty source \(Z_{1 max}\) equals \(\pm\)0.13 m\(\cdot\)s\({}^{-1}\), and exceeding this value is not realistic. The optimal approximation for the process of derivation of these deviations is an equal allocation with a coefficient \(\chi=\sqrt{3}\), which is associated with a predetermined \(Z_{max}\), which is unlikely to be exceeded. \[u_{B1}=\frac{Z_{1 max}}{\chi}=\frac{0.13}{\sqrt{3}}=0.075\;\text{m}\cdot\text{s} ^{-1} \tag{11}\]  
The TPM 0051-93 standard provides the following approximate distributions of the probability of deviations of the source of uncertainty \(Z_{jmax}\), which corresponds to the respective values of the coefficient \(\chi\)[29]:  
* Normal Gaussian distribution with \(\chi=2\) (selected for sources of uncertainty \(Z_{3}\) and \(Z_{7}\));
* Triangular Simpson's distribution with \(\chi=\sqrt{6}\);
* Trapezoidal distribution with \(\chi=2.32\);
* Even rectangular distribution with \(\chi=\sqrt{3}\) (selected for sources of uncertainty \(Z_{1}\), \(Z_{2}\), \(Z_{4}\), \(Z_{5}\), and \(Z_{6}\));
* Bimodal triangular distribution with \(\chi=\sqrt{2}\);
* Bimodal Dirac distribution with \(\chi=1\). An estimated value of uncertainty \(u_{B1}\) was transformed into a standard uncertainty of the measuring result \(u_{B}\) and its component \(u_{x1}\) was derived (i.e., an allowance to the uncertainty), which can be calculated in the form:  
\[u_{x1}=A_{x1}\cdot u_{B1}=1\cdot 0.075=0.075\;\text{m}\cdot\text{s}^{-1} \tag{12}\]  
where the conversion coefficient of sensibility is \(A_{x1}=1\).