Body under Constant Acceleration

Theorem
Let $$B$$ be a body under constant acceleration $$a$$.

Then the following equations apply:


 * $$\mathbf v = \mathbf u + \mathbf a t$$


 * $$\mathbf s = \mathbf u t + \frac {\mathbf a t^2} 2$$


 * $$\left({\mathbf v \cdot \mathbf v}\right)^2 = \left({\mathbf u \cdot \mathbf u}\right)^2 + 2 \mathbf a \cdot \mathbf s$$

where:
 * $$\mathbf u$$ is the velocity at time $$t = 0$$;
 * $$\mathbf v$$ is the velocity at time $$t$$;
 * $$\mathbf s$$ is the displacement of $$B$$ from its initial position at time $$t$$;
 * $$\cdot$$ denotes the scalar product.