The position S(t) at any time of the particle can be written as
[tex]S(t)=S_0 + vt + \frac{1}{2}at^2 [/tex]
where [tex]S_0[/tex] is the initial position (in our case, the particle is initially located at the origin, so S0=0i+0j, v is the velocity, a the acceleration and t the time.
Using v(t)=9.00 i m/s and a(t)=2.00 j m/s^2, we can rewrite S(t), the vector position of the particle at time t:
[tex]S(t)=9t \mbox{\bf{i}} m/s + \frac{1}{2} 2 t^2 \mbox{\bf{j}} m/s^2 [/tex]
