Engineering >> Mechanical Engineering

Implementing Calculus on the Track

by Brandon Bess


Submitted : Fall 2015

            The point of the project is to test the accuracy of measurements derived from real-world application of physics and calculus. The car that was analyzed was a Lamborghini Aventador Superveloce. The racetrack that is measured is the Nürburgring. A video from YouTube provided the speed of the Lamborghini as it raced around the track.

            The car’s speed was recorded in intervals of five seconds. The speedometer gave the speed in km/h, which had to be converted to Si units (m/s). Acceleration between each interval was found by subtracting speed at time 1 from speed at time 2 and dividing the result by five. The integral of the velocity equation was used to calculate the distance covered in each five-second interval. Each individual distance was then added to get the total distance of the track. The results proved the method to be a fairly accurate way of calculating distance yielding only a 2.54% error.

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Advisors :
Kanakadurga Nallamshetty, Mathematics and Statistics
Jonathan Burns, MUG Specialist
Suggested By :
Jonathan Burns
Implementing Calculus on the Track