Kinematic Equations for Uniform Acceleration ($a = \text{const}$)
- $v = u + at$
- $s = ut + \frac{1}{2}at^2$
- $v^2 = u^2 + 2as$
- Distance in $n$-th second: $s_n = u + \frac{a}{2}(2n - 1)$
- Instantaneous Velocity: $v = \frac{dx}{dt}$
- Instantaneous Acceleration: $a = \frac{dv}{dt} = \frac{d^2x}{dt^2} = v\frac{dv}{dx}$
