A person coughs when foreign object is in the windpipe. The velocity of the cough depends on the size of the object Suppose person has windpipe with 13-mm radius. If foreign object has racius in millimeters then the velocity V,in millimeters second; needed to remove the object by cough is given by the following equation; where k is some positive constant For what size object is the maximum velocity needed to remove the object? V(r)=k (132_r) , 0srs13 An object that has radius of (Type an integer or simplified fraction ) will need maximum velocity to remove it