At one instant a bicyclist is 50.0 m due east of a park's flagpole, going due south with a speed of 15.0 m/s. Then 27.0 s later, the cyclist is 60.0 m due north of the flagpole, going due east with a speed of 9.0 m/s. For the cyclist in this 27.0 s interval, what are the (a) magnitude and (b) direction of the displacement, the (c) magnitude and (d) direction of the average velocity, and the (e) magnitude and (f) direction of the average acceleration? (Give all directions as positive angles relative to due east, where positive is measured going counterclockwise.)