Final answer:
You can often swerve to a new path in less distance than stopping at low speeds. Higher speeds significantly increase braking distance, and the capability to swerve or stop is subject to various factors including road conditions and vehicle attributes.
Step-by-step explanation:
At low speeds, you can often swerve to a new path in a shorter distance than what you would need to stop the vehicle. This is because at higher speeds, the velocity of the car is greater, which increases the braking distance significantly due to the squared relationship between velocity and stopping distance, as described by the equations of motion. In addition, the situation depends on several factors such as road conditions, the vehicle's braking system, tire conditions, and driver reaction time.
These factors collectively affect the stopping distance and the maneuverability of the vehicle, making it situation-dependent. Considering the physics of stopping distances and the real-world application, it's critical for safety to understand how different speeds and conditions affect a vehicle's behavior. Lower speeds generally result in a more controllable vehicle and shorter distances required for both swerving and stopping, enhancing overall road safety.