The Head Injury Criterion (HIC) model has been developed to measure quantitatively the head injury risk in crash situations. Using a computer algebra system (here MAPLE), students are able to analyse results reported from a real crash test carried out with Mercedes-Benz cars. The discussion of the model provides first an excellent motivation for the Riemann integral, serves secondly as a piece of real consumer enlightenment, and demonstrates thirdly that the need to (over)simplify reality may produce hardly meaningful results, despite considerable mathematical expenditure.
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Hans-Wolfgang Henn (1998) studied this question.