A Board of Adjustment is hereby created. The Board shall consist of five (5) members appointed by the Mayor and approved by the Board of Aldermen, each to be appointed for a term of five (5) years, excepting that when the Board shall first be created, one member shall be appointed for a term of five (5) years, one for a term of four (4) years, one for a term of three (3) years, one for a term of two (2) years, and one for a term of one (1) year. Members shall be removable for cause by the Mayor and Board of Aldermen upon written charges and after public hearing. Vacancies shall be filled for the unexpired term of any member whose term becomes vacant.