The position of a particle moving in the xy plane varies with time, and its coordinates are given by to Following expressions: X(t) = 4.00 m + r cos[(4.00/s)t] and y(t) = r sin((4.00/s)t], where r = 2.50 m, and x and y will be in meters when t is in seconds. Determine the following for th particle. (a) speed of the particle at any time m/s (b) magnitude of the acceleration of the particle at any time | m/s² (c) Which of the following are true about the motion of the particle? (Select all that apply.) The velocity of the particle is a constant. The acceleration of the particle is a constant. The particle moves in a circular path. The radius of the circular path is 2.50 m. The magnitude of the acceleration of the particle is a constant. The speed of the particle is a constant. The center of the circular path is at x = 4.00 m.
