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Dangerous Driver?

Stage: 5 Challenge Level: Challenge Level:1

We had two very interesting solutions, which were beautifully presented Word documents -- click below to read them

Michael from Ecclesbourne
Michael believes that the penalty could not reasonably be rejected as the situation stands -- more information will be required about the specific car in question because, quite rightly, acceleration will not be constant in a real situation.


Henry, from Elizabeth College
Henry carefully converted all of the units and performed a calculation based on constant acceleration and various equations of mechanics. Based on these assumptions, he concludes that the car could be going as fast as 41m/s. This is greater that the speed that the camera recorded and that the case should not be dismissed on mathematical grounds.

Steve notes
In reality I wondered if constant power produced by the car might be a more solid starting point for a calculation. In principle this could be inferred from the solid data point of acceleration from 0 to 96 km/h in 10.5 seconds. A big unknown would be the retarding effect of wind resistance. Another big unknown would be the road configuration. Is it curved, straight, flat or up/downhill?