A car accelerates from 20 m/s to 25 m/s while behind a truck moving at 18 m/s, starting 50 m behind it. The car's acceleration is 1.8 m/s², and it takes approximately 2.78 seconds to reach the speed limit. During this time, the car travels 62.5 m, while the truck covers 50 m, leaving a gap of 37.5 m between them. To determine how long it takes for the car to overtake the truck, the relative distance and speeds are used, leading to a calculated time of about 5.2 seconds from when the car reaches the speed limit until it passes the truck. Understanding the relationship between their speeds and distances is crucial for solving the problem.