An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.

Time (seconds)	0.5	1	1.5	2	2.5	3
Distance (meters)	1.2	4.8	10.7	18.7	28.4	39.7