Consider a car driven along a circular racetrack of radius 1.6 km. What is the magnitude of its displacement after 2.5 laps? What is the total distance traveled?
After one lap, you're back where you started, so there's no displacement because displacement is a vector quantity, meaning it requires both magnitude (size) and direction away from the original position.
After two laps, it remains the same.
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The magnitude of its displacement after 2.5 laps is 0 km. The total distance traveled is (2.5 \times 2 \times \pi \times 1.6 \text{ km} = 8 \pi \text{ km} ) or approximately 25.13 km.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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