In a head-on collision between a 1500 kg car moving at 20 m/s and a 2400 kg truck at 12.5 m/s, the final velocities of both vehicles are assumed to be zero due to conservation of momentum. Calculations show that the car experiences a greater average acceleration than the truck, suggesting it travels a farther distance during the collision. However, the discussion raises questions about the collision's nature—whether it is elastic or inelastic—and how that affects the distances traveled. The conclusion is that if the collision is perfectly inelastic, both vehicles would come to rest at the same point, while in an elastic collision, the car would likely travel farther due to its higher initial velocity. The analysis emphasizes the importance of clearly stating assumptions and justifying them in physics problems.