To determine how far the car traveled while slowing down from 26.0 m/s to rest in 4.50 seconds, it's essential to know the nature of the deceleration. If the deceleration is constant, the rate can be calculated, allowing the use of the distance formula for constant acceleration. Without this information, the question cannot be accurately answered. Additionally, it's advised not to post the same question in multiple categories. Understanding the specifics of the deceleration is crucial for solving the problem.