What are Equations of Uniform Acceleration?

In short

The equations of uniform acceleration link initial velocity $u$ , final velocity $v$ , acceleration $a$ , time $t$ and displacement $s$ for an object whose acceleration is constant.

In simple words

There are three: $v = u + at$ , $s = ut + \tfrac{1}{2}at^2$ and $v^2 = u^2 + 2as$ . Pick the one that leaves out the quantity you do not know and do not need. They work only when the acceleration is constant, for example a falling stone near the Earth with $g = 9.8\ \text{m/s}^2$ . Starting from rest means $u = 0$ .

Example

A car moves from rest with $a = 2.0\ \text{m/s}^2$ for $5.0\ \text{s}$ . Then $v = 0 + 2.0\ \text{m/s}^2 \times 5.0\ \text{s} = 10\ \text{m/s}$ and $s = \tfrac{1}{2} \times 2.0\ \text{m/s}^2 \times (5.0\ \text{s})^2 = 25\ \text{m}$ .

Also searched as: uniform acceleration equations, equations of motion, starting from rest.