An experiment in a physics class involves dropping a golf ball and recording the distance (in m) it falls for different times (in sec) after it was released. The data are given in the table below. Project the distance for a time of 12 sec, given that the golf ball is dropped from a building that is 50 m tall.

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.

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Time Distance 0 0.5 1.2 1 4.9 1.5 2 11.0 19.5 2.5 3 30.5 44.0