The displacement of a particle is given by the expression x = (5.00 m) cos(3.00πt + π /4), where x is in meters and t is in seconds. a. Determine the frequency and period of the motion. b. Determine the amplitude of the motion. c. Determine the initial position of the particle. d. Sketch the position vs. time graph for this object.

The displacement of a particle is given by the expression x = (5.00 m) cos(3.00πt + π /4), where x is in meters and t is in seconds. a. Determine the frequency and period of the motion. b. Determine the amplitude of the motion. c. Determine the initial position of the particle. d. Sketch the position vs. time graph for this object.