Easy# Finding Speed from Position Vector

APCALC-ZYE1M1

The position vector of a particle moving in the xy-plane for $t\geq0$ is $\vec{p}=\left(t^2+t+1\right)\vec{i}+\left(3t^2-8t\right)\vec{j}$.

Find the function representing the speed of the particle for $t\geq0$.