Parallel Parking MM Group work

This is an article in the New York Times 10th Annual Year In Ideas magazine Adapted from the idea of Professor Simon Blackburn, University of London, 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.