Final answer:
In a two-lane road with parked cars, the safest lane position is usually closest to the center line, maintaining a safe distance from potential hazards like opening car doors and accommodating other road users like cyclists.
Step-by-step explanation:
The best lane position to travel in on a two-lane road with parked cars is typically in the lane that affords the safest distance from the parked cars while also allowing for smooth flow of traffic. This would usually be the lane closest to the center line. However, it's important to be aware of the risk of opening car doors from parked vehicles (a danger known as 'dooring') and to maintain a safe distance. Moreover, always check for cyclists and pedestrians, and adjust your position accordingly to ensure everyone's safety. While the provided information regarding race track curves and city traffic patterns illustrates the need for vehicles to adapt their path for safety and efficiency, these contexts differ from a two-lane road with parked cars. Nevertheless, they all emphasize the importance of choosing a path that balances speed with safety.