Q. At one instant a bicyclist is 49.0 m due east of a park's flagpole, going due south with a speed of 14.0 m/s. Then 35.0 s later, the cyclist is 49.0 m due north of the flagpole, going due east with a speed of 14.0 m/s. For the cyclist in this 35.0 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.)

Q. A 326-g object is attached to a spring and executes simple harmonic motion with a period of 0.250 s. If the total energy of the system is 5.83 J, find
(a) the maximum speed of the object,
(b) the force constant of the spring, and
(c) the amplitude of the motion.