The faster you are traveling, the __________ you will need to stop.

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Multiple Choice

The faster you are traveling, the __________ you will need to stop.

Explanation:
Stopping ability depends on how much friction can act to slow you down. The deceleration you need to stop increases with your speed. In simple terms, the distance to stop for a given braking force scales with the square of your speed, and the braking deceleration you can achieve is limited by friction: a_max = μg. So, as you go faster, you must produce a larger deceleration to stop, which requires more friction (a higher μ) to reach that deceleration. If the friction available isn’t increased, you won’t be able to stop as quickly and you’ll need more distance.

Stopping ability depends on how much friction can act to slow you down. The deceleration you need to stop increases with your speed. In simple terms, the distance to stop for a given braking force scales with the square of your speed, and the braking deceleration you can achieve is limited by friction: a_max = μg. So, as you go faster, you must produce a larger deceleration to stop, which requires more friction (a higher μ) to reach that deceleration. If the friction available isn’t increased, you won’t be able to stop as quickly and you’ll need more distance.

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