Abasketball rolls onto the court with a speed of 4 . 0 m s 4.0 s m 4, point, 0, space, start fraction, m, divided by, s, end fraction to the right, and slows down with a constant acceleration of 0 . 5 0 m s 2 0.50 s 2 m 0, point, 50, space, start fraction, m, divided by, s, start superscript, 2, end superscript, end fraction over 1 4 m 14m14, space, m. what is the velocity of the basketball after rolling for 1 4 m 14m14, space, m?

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.