The distance a car can travel before it stops accelerating due to friction and air resistance depends on various factors, including the car's initial speed, engine power, aerodynamics, road conditions, and more. It is a complex calculation influenced by many variables, and providing an exact value would be challenging.
However, I can provide a simplified explanation. When a car accelerates, it experiences opposing forces such as friction and air resistance. Friction primarily comes from the interaction between the tires and the road surface, while air resistance is the resistance encountered as the car moves through the air.
Initially, when a car accelerates, the force produced by the engine is greater than the combined effects of friction and air resistance. As the car's speed increases, these opposing forces become stronger, eventually reaching a point where they balance out the engine's force. At this point, the car reaches its top speed, known as its terminal velocity, where it no longer accelerates.
The distance a car can travel before reaching its terminal velocity depends on the factors mentioned earlier. A car with more powerful engine, streamlined aerodynamics, and lower frictional resistance from road conditions may be able to accelerate for a longer distance before reaching its terminal velocity. Conversely, a car with lower power, less aerodynamic design, or driving uphill may reach its terminal velocity relatively quickly.
It's important to note that in real-world scenarios, cars usually encounter traffic, traffic lights, speed limits, and other factors that prevent them from continuously accelerating for long distances.