Senior high school physics compulsory formula and formula derivation (derivation process) urgent!

Senior high school physics compulsory formula and formula derivation (derivation process) urgent!

Here, let the initial velocity be V0, the acceleration be a, and the time be t. first, v = V0 + at, where at is the velocity variation, and the initial velocity is the current velocity. Then, the total displacement S = v0t + 0.5at ^ 2. This formula can be proved in two ways: 1