Answer
$s(t)=\displaystyle \frac{t^{3}}{3}+t+C$
Work Step by Step
The function of velocity is the derivative of $s(t),$ the function of position.
$v(t)=s'(t)=t^{2}+1$
$s(t)=\displaystyle \int(t^{2}+1)dt$
$=\displaystyle \frac{t^{3}}{3}+t+C$
This is a collection of functions.
Further information is needed to find C.
