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How can average velocity be zero if traveled 100m?

Updated: 8/19/2019
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13y ago

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This question revolves around the idea of vector quantities. Vector quantities involve two factors: magnitude and direction. Velocity (as well as average velocity) is a vector quantity. The given value of 100m is a magnitude of a distance which is a scalar quantity. Average velocity can be represented as below (all V's represent velocity, not speed).

Vavg = ½ (Vi + Vf ). Let us say that an object was traveling at an initial velocity of 15m/s [East] for a certain amount of time. Afterward, the object suddenly travels at a final velocity of 15m/s [West] for a certain amount of time. In total, the object may have traveled 100m. Because the direction of the two velocities are opposite, the magnitude of the two values are opposite of one another. In other words,

Vavg = ½ (0m/s) = 0.

Therefore, it is important to always think about the direction an object is travellng when a vector quantity is involved.

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Q: How can average velocity be zero if traveled 100m?
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