|
1
|
\(\frac{{\partial S_{z} }}{{\partial V_{0} }} = t_{r} + \frac{{t_{n} }}{2} + \frac{{V_{0} }}{\mu \cdot g}\)
|
3.43 s
|
1
|
\(\frac{{\partial^{2} S_{z} }}{{\partial V_{0}^{2} }} = \frac{1}{\mu \cdot g}\)
|
0.146 s2/m
|
| | | |
2
|
\(\frac{{\partial^{2} S_{z} }}{{\partial V_{0} \partial \mu }} = - \frac{{V_{0} }}{{\mu^{2} \cdot g}}\)
|
− 2.89 s
|
| | | |
3
|
\(\frac{{\partial^{2} S_{z} }}{{\partial V_{0} \partial t_{r} }} = 1\)
|
1
|
| | | |
4
|
\(\frac{{\partial^{2} S_{z} }}{{\partial V_{0} \partial t_{n} }} = \frac{1}{2}\)
|
0.5
|
|
2
|
\(\frac{{\partial S_{z} }}{\partial \mu } = - \frac{{V_{0}^{2} }}{{2 \cdot \mu^{2} \cdot g}}\)
|
− 20.1 m
|
2
|
\(\frac{{\partial^{2} S_{z} }}{{\partial \mu^{2} }} = \frac{{V_{0}^{2} }}{{\mu^{3} \cdot g}}\)
|
− 40.1 m
|
| | | |
3
|
\(\frac{{\partial^{2} S_{z} }}{{\partial \mu \partial t_{r} }} = 0\)
|
0
|
| | | |
4
|
\(\frac{{\partial^{2} S_{z} }}{{\partial \mu \partial t_{n} }} = 0\)
|
0
|
|
3
|
\(\frac{{\partial S_{z} }}{{\partial t_{r} }} = V_{0}\)
|
13.9 m/s
|
3
|
\(\frac{{\partial^{2} S_{z} }}{{\partial t_{r}^{2} }} = 0\)
|
0
|
| | | |
4
|
\(\frac{{\partial^{2} S_{z} }}{{\partial t_{r} \partial t_{n} }} = 0\)
|
0
|
|
4
|
\(\frac{{\partial S_{z} }}{{\partial t_{n} }} = \frac{{V_{0} }}{2}\)
|
6.94 m/s
|
4
|
\(\frac{{\partial^{2} S_{z} }}{{\partial t_{n}^{2} }} = 0\)
|
0
|