13. You are part of a student engineering team competing in a flywheel-car race. When the...

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13. You are part of a student engineering team competing in a flywheel-car race. When the race starts, each team can begin winding a flywheel that will then propel their car towards a finish line. Your team has spent weeks building its car. The flywheel is capable of giving the car a constant acceleration of 0.5 m/s, but only for as long as you wind the flywheel for (so if you spend 10 seconds winding the flywheel, the car will accelerate at 0.5 m/s for 10 seconds once you release it). Once the flywheel is finished unwinding (after the car has accelerated for the same amount of time as you spent winding it), it will continue rolling at constant velocity. The race starts once you begin winding the flywheel on your car so the time spent winding it counts towards your total time. You need to figure out how long you should spend winding the flywheel once the clock begins ticking to get your car to the finish line as fast as possible. If the race is a length (L) of 100 meters, how long (tw) should you spend winding the flywheel to minimize the total race time? 13. You are part of a student engineering team competing in a flywheel-car race. When the race starts, each team can begin winding a flywheel that will then propel their car towards a finish line. Your team has spent weeks building its car. The flywheel is capable of giving the car a constant acceleration of 0.5 m/s, but only for as long as you wind the flywheel for (so if you spend 10 seconds winding the flywheel, the car will accelerate at 0.5 m/s for 10 seconds once you release it). Once the flywheel is finished unwinding (after the car has accelerated for the same amount of time as you spent winding it), it will continue rolling at constant velocity. The race starts once you begin winding the flywheel on your car so the time spent winding it counts towards your total time. You need to figure out how long you should spend winding the flywheel once the clock begins ticking to get your car to the finish line as fast as possible. If the race is a length (L) of 100 meters, how long (tw) should you spend winding the flywheel to minimize the total race time?