The end of a robtoic arm extends along the path of the limacon r = (1+.5 cos [theta])m. at the instant that [theta] = pi/4, the arm has angular rotation [theta]' = .6 rad/s, which is increasing at [theta]'' = .25 rad/s^2. Find the radial and transverse components of the velocity and acceleration of the object A held in its grip at this instant.