Given this information right over here and everything that I wrote up here, can we figure out the actual expressions for velocity as a function of time? Not just velocity at time 3, but velocity generally as a function of time and position as a function of time. I encourage you to pause this video right now and try to figure it out on your own. Let's just work through this. What is, we know that velocity as a function of time is going to be the antiderivative of our acceleration as a function of time. Our acceleration is just 1. This is going to be, the antiderivative of this right over here is going to be T, and then we can't forget our constant, plus C. Now we can solve for C because we know V of 3 is negative 3.