For time \(t\gt 0 \), the position of a particle moving in the \(xy\)-plane is given by the parametric equations \(x=4t+t^2\) and \(y=\dfrac{1}{3t+1}\). What is the acceleration vector of a particle at time \(t=1\) ?
For time \(t\gt 0 \), the position of a particle moving in the \(xy\)-plane is given by the parametric equations \(x=4t+t^2\) and \(y=\dfrac{1}{3t+1}\). What is the acceleration vector of a particle at time \(t=1\) ?