## 5 Conclusions
#### a.1.3 Standard Uncertainty Type A for the 3 rd Test Jump
If the estimation \(Z_{jmax}\) has the same physical units as the vertical velocity of the parachute, then the gear sensitivity coefficient \(A_{Xj}\) has the value 1 (dimensionless number). If the estimation \(Z_{jmax}\) has different physical units than the vertical velocity of the parachute (for example, air pressure \(p\)), then the gear sensitivity coefficient \(A_{Xj}\) is calculated as the ratio \(\Delta\upsilon/\Delta p\). The final standard uncertainty type B \(u_{B}\) was defined by a transformation and integration of the estimated uncertainty \(u_{xj}\) by applying Gauss's Law relating to the distribution of the uncertainty in compliance with TPM 0051-93 [29] (in this case, with no evaluation of correlations). \[u_{B}=\sqrt{\sum_{j=1}^{7}u_{xj}^{2}}=0.0147\;\text{m}\cdot\text{s}^{-1} \tag{13}\]Appendix A.1.6. The Combined Standard Uncertainty  
The combined standard uncertainty of the measuring results \(u_{C}\) of the vertical parachute speed defined using the photo-optical method was defined by merging the standard uncertainty types A and B by application of Gauss's Law for the distribution of the uncertainty in compliance with TOM 0051-93 [29]. The combined standard uncertainty of the result was calculated for each testing jump. \[\sqrt{u_{A1}^{2}+u_{B}^{2}}=\sqrt{0.036^{2}+0.147^{2}}=0.15\;\mathrm{m}\cdot \mathrm{s}^{-1}\] (A6)  
\[u_{C2}=0.16\;\mathrm{m}\cdot\mathrm{s}^{-1}\;\;u_{C3}=0.16\;\mathrm{m}\cdot \mathrm{s}^{-1}\]  
Appendix A.1.7. Extended Uncertainty  
The extended uncertainty of a measured result \(U\) of the vertical parachute speed defined by the photo-optical method was specified in compliance with TPM 0051-93 [29], where the coefficient \(k_{U}\) provides a number of repeated measurements for \(n=5\) and \(k_{U}=1.4\):  
\[U_{1}=2\cdot\sqrt{k_{U}^{2}.u_{A1}^{2}+u_{B}^{2}}=\sqrt{1.4^{2}\cdot 0.036^{2}+0. 147^{2}}=0.31\;\mathrm{m}\cdot\mathrm{s}^{-1}\] (A7)  
\[U_{2}=0.33\;\mathrm{m}\cdot\mathrm{s}^{-1}\;U_{3}=0.32\;\mathrm{m}\cdot \mathrm{s}^{-1}\]  
Thus, the specified extended uncertainty of the measured results of the vertical parachute speed assigned using the photo-optical method has a confidence probability of 95%, assuming a standard Gaussian distribution. Appendix A.1.8. The Results of the Measurement of the Vertical Parachute Speed M-282 Using the Photo-Optical Method  
The final vertical parachute speed was defined as the average value of the results achieved by three measurements:  
1 st test jump \(\overline{v}_{vertISA}=4.718\;\mathrm{m}\cdot\mathrm{s}^{-1}\pm 0.31\; \mathrm{m}\cdot\mathrm{s}^{-1}\) (\(\pm 6.6\%\));  
2 nd test jump \(\overline{v}_{vertISA}=4.616\;\mathrm{m}\cdot\mathrm{s}^{-1}\pm 0.33\; \mathrm{m}\cdot\mathrm{s}^{-1}\) (\(\pm 7.2\%\));  
3 rd test jump \(\overline{v}_{vertISA}=4.640\;\mathrm{m}\cdot\mathrm{s}^{-1}\pm 0.32\; \mathrm{m}\cdot\mathrm{s}^{-1}\) (\(\pm 6.9\%\)). Therefore, the highest extended uncertainty was thus assigned. The final vertical speed of parachute M-282, including the total weight of 95 kg of the parachutist-parachute set, defined by the photo-optical method was:  
\[\overline{v}_{vertISA}=4.658\;\mathrm{m}\cdot\mathrm{s}^{-1}\pm 0.32\; \mathrm{m}\cdot\mathrm{s}^{-1}\) (\(\pm 6.9\%\))  
where the extended uncertainty of the measuring result was defined in compliance with TPM 0051-93 [29] and has an assigned confidence probability of P = 95%.