Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_116

2/116 A helicopter starts from rest at point \(A\) and travels along the straight-line path with a constant acceleration \(a\). If the speed \(v = 28 \text{ m/s}\) when the altitude of the helicopter is \(h = 40 \text{ m}\), determine the values of \(\dot{r}\), \(\ddot{r}\), \(\dot{\theta}\), and \(\ddot{\theta}\) as measured by the tracking device at \(O\). At this instant, \(\theta = 40^\circ\), and the distance \(d = 160 \text{ m}\). Neglect the small height of the tracking device above the ground.