a(t)=4t

For which values were the initial velocity does the particle have a negative displacement to its initial position after 2 seconds

a) V0 = -8/3

b) V0 = -16/15

c) V0 = -4/3

d) V0 = 8/3

I am a little confused at what this question is asking for and how to do it. I feel like I would need to find the antiderivative of a(t) but i do not know where to go from there