The body's displacement for the given time interval. So we want to figure out what S of eight is. So we're going to stick in eight and we're going to have 8 ^2 - 3 * 8 + 2, so 64 - 24 + 2. So that's going to give us 42. Then we need S of 0, and S of 0 is going to be 0 ^2 - 3 * 0 + 2 or two. So our displacement is just S of 8 -, s of 0. So 42 -, 2 is 40. The next part says the body's average velocity for the given time interval. Well, the average velocity is just the displacement 40 over the time interval. So 8 - 0 forty over 8 is going to be 5. You could have thought of that 40 as S 8 -, s of 0 over 8 -, 0. It's really just the slope. So we get 5 there. For the next part, it says the body speed. So we want the absolute value of the velocity, and the velocity is the first derivative. So we want two t - 3, and we want the absolute value of V0, so 0 ^2 - 3 * 0 + 2, and that's going to give us out two. And then we want the absolute value of V of eight, which is going to be 2 * 8 - 316 - 3 is 13. Oh, I put this one into the wrong equation. My apologies, 2 * 0 - 3, which is -3 the absolute value is 3, the body's acceleration. So we want the 2nd derivative. If velocity is two t -, 3, acceleration is just two, and so at the end point, a of 0 is 2 and a of eight is also two. And then we want to know when does the interval change direction. So we're going to take that velocity formula and set it equal to 02 T equal 3T equal 3 halves. Now this particular problem didn't ask it, but if it did ask for the total distance traveled, we would figure out what we did from S3 halves minus S0 taking the absolute value of that. And then we would figure out S of 8 -, s of three halves taking the absolute value of that. So the total distance traveled would be add those two together.