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.