To analyze your movement, we need to understand the concepts of speed and velocity.
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Speed is a scalar quantity that refers to how fast an object is moving regardless of its direction. It is defined as the distance traveled divided by the time it took to travel that distance.
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Velocity is a vector quantity that refers to the rate at which an object changes its position. It has both magnitude and direction.
Calculation:
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Total Distance Traveled:
- Walked 100 m east + 100 m west = 200 m total distance
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Total Time Taken:
- 50 s + 50 s = 100 s total time
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Average Speed: \[ \text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{200 , \text{m}}{100 , \text{s}} = 2 , \text{m/s} \]
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Displacement:
- You ended up where you started after walking 100 m east and then 100 m west. Therefore, your total displacement is 0 m.
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Average Velocity: \[ \text{Velocity} = \frac{\text{Displacement}}{\text{Total Time}} = \frac{0 , \text{m}}{100 , \text{s}} = 0 , \text{m/s} \]
Summary:
- Your speed was 2 m/s (since you traveled a total of 200 m in 100 s).
- Your velocity was 0 m/s (since your displacement is 0).
Therefore, the correct conclusion is:
Your speed was 2 m/s, and your velocity was 0 m/s.