If a formula one car was on the hard shoulder of a Motorway(freeway) getting ready to go, and a road car came past doing 80 mph at the precise second the F1 car set off, how long would the F1 car take to catch up with the road car?
Long answer: on Wikipedia, I found the acceleration to 100, 200 and 300 km/h, which I plotted in a graph with Excel (red is the 80mph car, blue is the F1 car). I added a trendline, which returns a third degree polynomial. This can be integrated, which gives the distance travelled and can be plotted in a graph along with the distance travelled by the car. The intersection between the two graphs is the point at which the F1 car overtakes the car: 4.7 seconds, with 170 metres travelled.