A car is driving following the parametric curve, where x, y are in meters and t is in seconds. r(t) =(t²-1,t²-t+1)
Part I : How fast is the driver going at time t = 1?
Part II : At t = 1, the car suffers an accident and one of the wheels flies off. The wheel continues forwards directly along the tangent line to the car's trajectory. Find a parametric equation for the wheel's motion. Eventually the wheel comes to rest after hitting a wall located at y = 3. How long did the wheel roll for after coming off the car?