I tutor high school kids and I've been compiling a list of ways that math can be useful in everyday life. One of the items on my list is "You can use calculus to fight a speeding ticket in court." I've heard professors making this claim and it makes sense given that you can use integrals in rate of change problems to determine the speed of an object using measurements from another speeding object. But truth to tell, I've never heard any actual cases of someone using this in court. So here are a few questions I have that maybe y'all can help me with:
1. Have their been any actual traffic court cases where calculus was used to dispute a machine reading on car speed and if so, what was the outcome?
2. If you wanted to calculate a reading on your car's speed when you were caught by the police, how would you go about determining the speed of the cop car when their machine reading was taken?