The animation shows a picture of an accelerating object, i.e. a motion that is modelled by a quadratic function. The table shows the position of the object (x in metres) every second. For each problem:
1. Draw a graph of x against time.
2. Find an algebraic formula modelling the situation.
3. Find x if t = 12.
Reflect on similarities across the problems - what are the characteristic features of the tables, of the graphs and of the formulas for all these problems?