Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_170

2/170 At a certain instant after jumping from the airplane \(A\), a skydiver \(B\) is in the position shown and has reached a terminal (constant) speed \(v_B = 50 \text{ m/s}\). The airplane has the same constant speed \(v_A = 50 \text{ m/s}\), and after a period of level flight is just beginning to follow the circular path shown of radius \(\rho_A = 2000 \text{ m}\). (a) Determine the velocity and acceleration of the airplane relative to the skydiver. (b) Determine the time rate of change of the speed \(v_r\) of the airplane and the radius of curvature \(\rho_r\) of its path, both as observed by the nonrotating skydiver.