Now let's do part d. I'll do it right over here, part d. For t between zero and six, the particle changes direction exactly once. Find the position of the particle at that time. So the way that I'm gonna tackle it is first I need to think about at what time does the particle change direction, and then I can figure out its position by taking the integral of the velocity function. So how do I think about where that particle changes direction? Well, you're going to change direction if your velocity is at zero, and right before that, your velocity was positive, and then right after that, your velocity is negative, or the other way around. Right before that, your velocity was negative, and then your velocity right after that is positive. So we just have to figure out when does v of t equal zero.