Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_124

2/123: Instruments located at $O$ are part of the ground traffic control system for a major airport. At a certain instant during the takeoff roll of the aircraft $P$, the sensors indicate the angle $\theta = 50^\circ$ and the range rate $\dot{r} = 140 \text{ ft/sec}$. Determine the corresponding speed $v$ of the aircraft and the value of $\dot{\theta}$. 2/124: In addition to the information supplied in the previous problem, the sensors at $O$ indicate that $\ddot{r} = 14 \text{ ft/sec}^2$. Determine the corresponding acceleration $a$ of the aircraft and the value of $\ddot{\theta}$.