Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_169

2/169 The aircraft \( A \) with radar detection equipment is flying horizontally at an altitude of \( 12\text{ km} \) and is increasing its speed at the rate of \( 1.2\text{ m/s} \) each second. Its radar locks onto an aircraft \( B \) flying in the same direction and in the same vertical plane at an altitude of \( 18\text{ km} \). If \( A \) has a speed of \( 1000\text{ km/h} \) 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 \( 1500\text{ km/h} \).