These arent projectile motion, but anyways:
(a)(i) A is initially at x = 2, with v = 0, so initial acceleration = -12 m/s/s, so it will move towards the left (or whichever direction you consider negative)
(ii)
d/dx (0.5v2) = -6x
0.5v2 = -3x2 + c
when t = 0, x = 2, v = 0, so c = 12...