I was doing just fine on my homework until I came across this bad boy. The x and y coordinates of a moving particle are given by the parametric equations $\displaystyle x = t^3 = 5t$ and $\displaystyle y = 4t^2 - 3t^3$ where $\displaystyle t$ is in seconds, and x and y are in metres. To 3 significant digits, find the magnitute and direction of the acceleration at $\displaystyle t=1\; s$.