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This was then plotted against the given data and the two curves were compared.
Quadratic model:
Y = 1.4203 x2 - 1.8775 x + 0.9810
INSERT GRAPH OF QUADRATIC MODEL WITH DATA ON SAME GRAPH
The quadratic model generated fit's the data perfectly for this given region. This is due to the selection of the relevant domain, focussing only upon the ball as it experiences gravitational acceleration. The one downfall of this model is that the quadratic function does not cease increasing, unlike the data which it is modelled for. Therefore for value x > 1.35 the model values are irrelevant.
c).
Derivative of the Quadratic model:
dY / dT = 2...
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