Projectiles $$A$$ and $$B$$ are thrown at angles of $$45°$$ and $$60°$$ with vertical respectively from top of a 400 m high tower. If their times of flight are same, the ratio of their speeds of projection $$v_A : v_B$$ is:

A

$$1 : \sqrt{3}$$

B

$$\sqrt{2} : 1$$

C

$$1 : 2$$

D

$$1 : \sqrt{2}$$