92 The motion of a particle is defined by the equations x = 10t − 5 sin tand y = 10 − 5 cos t, where x and y are expressed in feet and t isexpressed in seconds. Sketch the path of the particle for the timeinterval 0 ≤ t ≤ 2π, and determine (a) the magnitudes of the smallestand largest velocities reached by the particle, (b) the correspondingtimes, positions, and directions of the velocities.