\(v(t)=\frac{d}{dx}[S(t)]\\ a(t)=\frac{d}{dx}[v(t)]\)
\(v(t)=\int a(t) dx\\ S(t)=\int v(t) dx\)
S(t) = displacement in terms of t
v(t) = velocety in terms of t
a(t) = acceleration in terms of t
t = time