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If a particle travels \( n \) equal distances with speeds \( v_{1}, v_{2}, \ldots, v_{n} \), then the average speed \( \bar{V} \) of the particle will be such that
(1) \( \bar{V}=\frac{v_{1}+v_{2}+\cdots+v_{n}}{n} \)
(2) \( \bar{V}=\frac{n v_{1} v_{2}+v_{n}}{v_{1}+v_{2}+v_{3}+\cdots+v_{n}} \)
(3) \( \frac{1}{\bar{V}}=\frac{1}{n}\left(\frac{1}{v_{1}}+\frac{1}{v_{2}}+\cdots+\frac{1}{v_{n}}\right) \)
(4) \( \bar{V}=\sqrt{v_{1}{ }^{2}+v_{2}{ }^{2}+\cdots+v_{n}{ }^{2}} \)
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