The SUVAT equations for motion are as follows:v = u + at s = ((u + v)/2)t s = ut + (1/2)(a)(t^2) s = vt - (1/2)(a)(t^2) v^2 = u^2 + 2asThe last 3 equations can be derived from the first two, but will also be given on an A level formula sheet for most exam boards.The first two can be derived from first principles: a is the acceleration therefore the velocity increases by a every unit of time that passes. The total increases in velocity will therefore be at, where t is the total units of time passed. So the final velocity (v), will be the initial velocity (u), plus the increase in velocity (at). This is the first equation.Given that u is the initial velocity and v is the final velocity, the average velocity will be the average of these- (u+v)/2This is the average displacement per unit of time, therefore multiplying it by the total units of time passed will give the total displacement (s). This is the second equation.