motion+calculus

$v(t)=\frac{d}{dx}[S(t)]\\ a(t)=\frac{d}{dx}[v(t)]$

$v(t)=\int a(t) dx\\ S(t)=\int v(t) dx$

S(t) = displacement in terms of t

v(t) = velocety in terms of t

a(t) = acceleration in terms of t

t = time