Arigid object is rotating in a counterclockwise sense around a fixed axis. each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid object.
(a) which of the sets can only occur if the rigid object rotates through more than 180°?

1) 3 rad, 6 rad
2) -1 rad, 1 rad
3) 1 rad, 5 rad

(b) suppose the change in angular position for each of these pairs of values occurs in 1 s. which value represents the lowest average angular speed?
1) -1 rad, 1 rad
2) 3 rad, 6 rad
3) 1 rad, 5 rad

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.