Body under Constant Acceleration

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

Then the following equations apply:


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


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


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

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.