Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_132

2/132 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: \(r = 90\text{ m}\), \(\dot{r} = 15.5\text{ m/s}\), \(\ddot{r} = 74.5\text{ m/s}^2\), \(\theta = 30^\circ\), \(\dot{\theta} = 0.53\text{ rad/s}\), and \(\ddot{\theta} = -0.29\text{ rad/s}^2\). Determine the values of \(v\), \(\dot{v}\), \(\rho\), and \(\beta\) at this instant.