The aircraft \(A\) with radar detection equipment is flying horizontally at an altitude of \(12 \mathrm{~km}\) and is increasing its speed at the rate of \(1.2 \mathrm{~m} / \mathrm{s}\) each second. Its radar locks onto an aircraft \(B\) flying in the same direction and in the same vertical plane at an altitude of \(18 \mathrm{~km}\). If \(A\) has a speed of \(1000 \mathrm{~km} / \mathrm{h}\) at the instant when \(\theta=30^{\circ}\), determine the values of \(\ddot{r}\) and \(\ddot{\theta}\) at this same instant if \(B\) has a constant speed of \(1500 \mathrm{~km} / \mathrm{h}\).

Transcribed Image Text:

A 18 km B 12 km