The path of a particle P is a limaon. The motion of the particle is defined by

The path of a particle P is a limaçon. The motion of the particle is defined by the relations ons r=b(2+cos?t) and ? = ? t, where t and ? are expressed in seconds and radians, respectively. Determine(a) The velocity and the acceleration of the particle when t = 2 s,(b) The value of ? for which the magnitude of the velocity is maximum.