So we're asked to derive the equation v squared is equal to u squared plus 2aS. To derive this one we start with equation 1 which is v is equal to u plus a t. And what we're going to do now is we're going to square both sides so that would be v squared is equal to and square in this side we get u squared plus twice the product so that's plus 2 u a t plus a squared t squared. Now on the right hand side what we're going to do is we're going to factor out from here to a and that will leave us with u t plus a half a t squared. Now we know that u t plus a half a t squared this bit here is equal to s so s is equal to u t plus a half a t squared. So we can substitute that in so now we have v squared is equal to u squared plus 2aS which is what we were asked to derive in the first place.