A particle starts from rest with constant acceleration. The ratio of space-average velocity to the time-average velocity is:
where time-average velocity and space-average velocity, respectively, are defined as follows: 
\(<v>_{time}\) \(=\) \(\frac{\int v d t}{\int d t}\)
\(<v>_{space}\) \(=\) \(\frac{\int v d s}{\int d s}\)$\frac{}{}$