The racing airplane is beginning an inside loop in the vertical plane. The tracking station at \(O\) records the following data for a particular instant: \(r=90 \mathrm{~m}\), \(\dot{r}=15.5 \mathrm{~m} / \mathrm{s}, \ddot{r}=74.5 \mathrm{~m} / \mathrm{s}^{2}, \theta=30^{\circ}, \dot{\theta}=0.53 \mathrm{rad} / \mathrm{s}\), and \(\ddot{\theta}=-0.29 \mathrm{rad} / \mathrm{s}^{2}\). Determine the values of \(v, \dot{v}, ho\), and \(\beta\) at this instant.

v, v