# How do you find the displacement of an object if you know the acceleration?

If the displacement is $x$, then;
velocity is $v = \frac{\mathrm{dx}}{\mathrm{dt}}$
Acceleration is $a = \frac{\mathrm{dv}}{\mathrm{dt}} = \frac{{d}^{2} x}{\mathrm{dt}} ^ 2$
$\frac{{d}^{2} x}{\mathrm{dt}} ^ 2 = a \left(t\right)$