#### missrikku

I am having trouble with this problem:

A particle leaves the origin with an initial velocity v = (3.00i) m/s and a constant acceleration a = (-1.00i - 0.500j) m/s^2. When the particle reaches its max x coordinate, what are a)it's velocity and b) its position vector.

Am I to assume that at the max the v = 0 m/s? That means I've got to assume that the motion is a parabola, but I don't think that I have enough information to assume that. Or do I? I would just like to know how to start this problem out. Can someone lead me in the right direction? Thanks!