The arm of the robot moves so that r = 3 ft is constant, and its grip A moves along the pa...

The arm of the robot moves so that r = 3 ft is constant, and its grip A moves along the path z = (3 sin 4θ) ft, where θ is in radians. If θ = (0.5t) rad, where t is in seconds, determine the magnitudes of the grip’s velocity and acceleration when t = 3 s.