The initial velocity of a projectile is 12i+13j in m\s.

What is the displacement of a projectile at 0.25 seconds later?

do horizontal and vertical separately

I assume j is up

v = 13 - 9.81 t
y = 0 + 13 t -4.9 t^2
If y is negative, it dug a hole :)

and
x = 12 t
so
d = 12 t i + (13t-4.9t^2) j