Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_123

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 \(\dot{\theta}\).