A driver starts his car with the door on the passenger's side wide open (0 = 0). The 100-lb door has a centroidal radius of gyration k =12 in., and its mass center is located at a distance r= 20 in. from its vertical axis of rotation. Determine the smallest constant acceleration that the driver can maintain if the door is to close and latch, knowing that as the door hits the frame its angular velocity must be at least 1.9 rad/s for the latching mechanism to operate. a A If the door is to close and latch, the smallest constant acceleration that the driver can maintain is ] ft/ s2 .