Answer
$S (t)= -16t^2 + V_0t + S $
Work Step by Step
$a(t)= -32ft/sec^2$ , $S(t)= -16t^2+V0t+S$
$V (t)= \int a(t) dt = \int(-32(t))dt = -32t + S$
$V(0)= -32 (0) + S$
$S=V (0) $
$V (t)= -32 + V(0) $
$\int(V (t))= \int(-32t+ V (0)) dt = (-32 (t^2/2))+ V(0)(t^1/1)+ S = -16t^2+V_0t+S$
$S (t)= -16t^2 + V_0t + S $
