Projectiles A and B are thrown at angles of \(45^ \circ\) and \(60 ^\circ \) with vertical respectively from top of a 400 m high tower. If their ranges and times of flight are same, the ratio of their speeds of projection \(v_A :v_B\) is
(1) \(1: \sqrt {3}\)
(2) \(\sqrt {2}: 1\)
(3) 1 : 2
(4) \(1 : \sqrt {2}\)
(5) None of these