91Ó°ÊÓ

Velocity is the rate of change in the position of an item in motion as seen from a specific frame of reference and measured by a specific time standard.

The velocity of galaxy 1 relative to galaxy 2 will be equal to the sum of the velocity of galaxy 1 relative to 3 and the velocity of the galaxy of galaxy 3 relative to 2.

The velocity of the galaxy 1 relative to 3 is V₁₃ = -4500 m/s.

The velocity of the galaxy 3 relative to 2 is V₃₂ = -2200m/s.

Hence V₂₃ = 2200 m/s.

Hence the velocity can be calculated by the following equation.

$$\begin{gathered} V_{12}=V_{13}+V_{32} \\ {V}_{12}=-4500+2200 \\ {V}_{12}=-2300\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

The velocity of galaxy 1 relative to galaxy 2 is -2300 m/s

The velocity can be calculated by the following equation.

$$\begin{gathered} V_{32}=V_{23}+V_{32} \\ {V}_{32}=0+2200 \\ {V}_{32}=2200\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

The velocity of galaxy 3 relative to galaxy 2 is 2200 m/s

The velocity can be calculated by the following equation.

$$\begin{gathered} V_{42}=V_{43}+V_{32} \\ {V}_{42}=2830+2200 \\ {V}_{42}=5030\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

The velocity of galaxy 4 relative to galaxy 2 is 5030 m/s

The velocity can be calculated by the following equation.

$$\begin{gathered} V_{52}=V_{53}+V_{32} \\ {V}_{52}=6700+2200 \\ {V}_{52}=8900\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

The velocity of galaxy 5, relative to galaxy 2 is 8900 m/s

Hence the velocity can be calculated by the following equation.

$$\begin{gathered} {\mathrm{V}}_{15}={\mathrm{V}}_{13}+{\mathrm{V}}_{35} \\ {\mathrm{V}}_{15}=-4500-6700 \\ {\mathrm{V}}_{15}=-11200\raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right. \end{gathered}$$

The velocity of galaxy 1 relative to galaxy 5 is -11200 m/s

The velocity can be calculated by the following equation.

$$\begin{gathered} V_{25}=V_{23}+V_{35} \\ {V}_{25}=-2200-6700 \\ {V}_{25}=-8900\raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right. \end{gathered}$$

The velocity of galaxy 2 relative to galaxy 5 is -8900 m/s

The velocity can be calculated by the following equation.

$$\begin{gathered} V_{35}=V_{33}+V_{35} \\ {V}_{35}=-6700 \\ {V}_{35}=-6700\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

The velocity of 3 relative to 5 is -6700 m/s

The velocity can be calculated by the following equation.

$$\begin{gathered} V_{45}=V_{53}+V_{32} \\ {V}_{45}=2830-6700 \\ {V}_{45}=-3870\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right. \end{gathered}$$

The velocity of galaxy 4 relative to galaxy 5 is -3870 m/s