$a(t)={a}_{0}$

$v(t)={a}_{0}t+{v}_{0}$

$x(t)=\frac{1}{2}{a}_{0}{t}^{2}+{v}_{0}t+{x}_{0}$

My question is how would you formulate a similar equation when acceleration is dependent on the inverse-square of distance from a point, such as Coulomb's Law or Isaac Newton's inverse-square law of universal gravitation?