A tracking radar lies in the vertical plane of the path of a rocket which is coasting in unpowered flight above the atmosphere. For the instant when \(\theta=30^{\circ}\), the tracking data give \(r=25\left(10^{4}\right) \mathrm{ft}, \dot{r}=4000 \mathrm{ft} / \mathrm{sec}\), and \(\dot{\theta}=0.80 \mathrm{deg} / \mathrm{sec}\). The acceleration of the rocket is due only to gravitational attraction and for its particular altitude is \(31.4 \mathrm{ft} / \mathrm{sec}^{2}\) vertically down. For these conditions determine the velocity \(v\) of the rocket and the values of \(\ddot{r}\) and \(\ddot{\theta}\).

Transcribed Image Text:

+1