At one instant a bicyclist is 51.0 m due east of a park’s flagpole, going due south with a speed of 11.0 m/s. Then 36.0 s later, the cyclist is 51.

At one instant a bicyclist is 51.0 m due east of a park’s flagpole, going due south with a speed of 11.0 m/s. Then 36.0 s later, the cyclist is 51.0 m due north of the flagpole, going due east with a speed of 11.0 m/s. For the cyclist in this 36.0 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.)