An outdoor gear company develops a new type of fabric that works with electricity to warm the body without interfering with motion like heavy jackets do. research biologists, studying life in extremely cold conditions on the polar ice caps, begin wearing the new fabric because it them work more comfortably, and they find it increases their productivity.

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 vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.