At one instant a bicyclist is 41.0 m due east of a park's flagpole, going due south with a speed of 13.0 m/s. Then 22.0 s later, the cyclist is 41.

At one instant a bicyclist is 41.0 m due east of a park's flagpole, going due south with a speed of 13.0 m/s. Then 22.0 s later, the cyclist is 41.0 m due north of the flagpole, going due east with a speed of 13.0 m/s. For the cyclist in this 22.0 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.)