This is an article in the New York Times 10th Annual Year In Ideas magazine http://www.nytimes.com/interactive/2010/12/19/magazine/ideas2010.html#Perfect_Parallel_Parking. Adapted from the idea of Professor Simon Blackburn, University of London, https://www.ma.rhul.ac.uk/SRBparking Create a possible solution to the question following the steps given.
Qn. Find the minimal distance required for a parallel parking spot (beyond the length of the car itself). Try: Adjust the sliders to see how the various parameters affect the outcome. Note: d_c is the distance you're allowing to exist between the parked car and the parallel curb. Setting d_c to zero would have the car positioned flush against the curb at the end of its backward motion. Setting d_c to a positive value allows the car to pull forward in order to straighten out after initially backing up. Intuitively, the larger you set d_c to be, the less distance you need to fit between the parked cars. Following the MM model below, complete the task as a group through Step 1 - 4 and bring your discussions to class for more assistance. Real world problem 1. Formulating - Understand the problem, - Make assumptions to simplify the problem - represent the problem mathematically Mathematical problem 2. Solving - Select and use appropriate mathematical methods and tools(including ICT), - Solve the problem and present the solution Mathematical Solution 3. Interpreting - interpret the mathematical solution in the context of the real-world problem, - present the solution of the real-world problem Real World solution 4. Reflecting - Reflect on the real-world solution, improve the model.