So we're asked to derive the equation, s is equal to U t plus a half a t squared. So to start with this one, we're going to say that the average velocity, so v average is equal to the initial velocity, which is u plus the final velocity, which is v over 2. So that's the average velocity. So v average is equal to u plus v over 2. But we know that v is equal to u plus a t from equation 1. So we can substitute that in and say that v average is now equal to u plus u plus a t over 2. Now we can also say that velocity is equal to displacement over time, so s over t. So we can substitute that in over this side to say s over t is equal to, now we have 2u plus a t over 2. So if I want to get s on its own, then I multiply across by t. So s is equal to t times 2u plus a t. So that would be 2u t plus a t squared. Over 2. And then on the right hand side, we can just divide that 2 in. So we get s is equal to 2u t divided by t is u t. And then a t squared divided by 2 is half a t squared. And that's what we're looking for. s is equal to u t plus half a t squared.