A wound spring provides the energy to propel a toy car across a level floor at time ti, the car is moving at a speed vi across the floor and the spring is unwinding, as shown below. At time tf, the spring has fully unwound and the car coasted to a stop

It seems that you have described a scenario where a wound spring is used to propel a toy car across a level floor until the spring fully unwinds and the car comes to a stop. However, there is no visual or specific details provided below to help provide a better understanding or analysis of the situation. If you could provide more information or clarify your question, I will be happy to help you further.