A car accelerates uniformly from rest and travels 15 meters during the second second of its journey. The discussion focuses on calculating the distance traveled in the fifth second, with participants clarifying that the 15 meters refers specifically to that second, not the total distance in two seconds. The correct approach involves using the equation for distance under uniform acceleration, d(t) = 0.5 * a * t^2, to derive expressions for distances at specific time intervals. Participants emphasize the importance of correctly identifying initial velocities and using consistent variables to avoid confusion in calculations. Ultimately, the conversation highlights the need for clear understanding and application of motion equations to solve the problem accurately.