Question Video: Comparing the Distances of Two Paths with Different Directions | Nagwa Question Video: Comparing the Distances of Two Paths with Different Directions | Nagwa

# Question Video: Comparing the Distances of Two Paths with Different Directions Science • Third Year of Preparatory School

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A car is at the center of a circle. The arrows show paths that the car could travel to reach the circumference of the circle. Is the distance moved the same for both paths?

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### Video Transcript

A car is at the center of a circle. The arrows show paths that the car could travel to reach the circumference of the circle. Is the distance moved the same for both paths? (A) Yes or (B) no.

This question is asking us, if the car traveled along the blue path or the red path, would the distance traveled be the same? To answer this question, consider each arrow. See that both arrows originate from the same point, the exact center of the circle. Then each arrow carves a path through the circle all the way to some point on the circumference of the circle. They don’t end up at the same point on the circle but travel in different directions.

Nevertheless, since each arrow reaches from the center to the circumference, the length of each arrow is the same. In fact, the length of each arrow is equal to the radius of the circle. This means that the distance the car would travel on the blue path is the same as the distance it would travel on the red path. The distance is equal to the radius of the circle. Since we are discussing distance and not displacement, the directions of the paths are irrelevant. All we care about is the magnitude of the path. We can therefore conclude that the correct answer is option (A), yes.

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