Again another stupid projectile

18) A particle is projected from a point with position vector (3i+3j)m relative to a fixed origin O where i and j are unit vectors in the horizontal and upward vertical directions respectively. Two seconds later the particles passes through the point with position vector (13i+8j)m. Find its initial velocity vector.

Vertically:
s=5
a=-9.8
t=2
u=?

Horizontally:
s=10
a=0
t=2
u=?

Use an equation to work out the initial speed horizontally and the initial speed vertically.

s=ut+1/2at^2

Resolving vertically:
5=2u-19.6
24.6=2u
12.3=u

Resolving horizontalyl:
10=2u
u=5