Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_121

2/121 The rocket is fired vertically and tracked by the radar station shown. When \(\theta\) reaches \(60^{\circ}\), other corresponding measurements give the values \(r = 9 \text{ km}\), \(\ddot{r} = 21 \text{ m/s}^2\), and \(\dot{\theta} = 0.02 \text{ rad/s}\). Calculate the magnitudes of the velocity and acceleration of the rocket at this position.