Difficult# Speed with Vectors and Parametric Equations 1

APCALC-FGY4FO

The position vector of a particle moving in the xy-plane for $t\geq0$ is:

$$\vec{p}=\left(e^{t^2}-6t\right)\vec{i}+\left(\frac{e^t}{t+1}\right)\vec{j}$$

What is the speed of the particle at $t=4.2$?