Average Velocity Formula |
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\( \bar {v} \;=\; \dfrac{ \Delta x }{ \Delta t } \) (Average Velocity) \( \Delta x \;=\; \bar {v} \cdot \Delta t \) \( \Delta t \;=\; \dfrac{ \Delta x }{ \bar {v} } \) |
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| Symbol | English | Metric |
| \( \bar {v} \) = Average Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
| \( \Delta x \) = Change in Position | \(ft\) | \(m\) |
| \( \Delta t \) = Change in Time | \(sec\) | \(s\) |
Average velocity, abbreviated as \(\bar {v}\) or \(v_a\). is a measure of the overall rate of change of an object’s position over a specified time interval. It is defined as the total displacement of the object divided by the total time taken, and it takes into account both the magnitude and direction of motion. Unlike instantaneous velocity, which describes the speed and direction at a particular moment, average velocity provides a simplified view of motion over a period of time. Average velocity is especially useful in analyzing motion when acceleration is not constant or when only initial and final positions are known.
Average Velocity Formula |
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\( \bar {v} \;=\; \dfrac{ 1 }{ 2 } \cdot ( v_i + v_f ) \) (Average Velocity) \( v_i \;=\; 2 \cdot \bar {v} - v_f \) \( v_f \;=\; 2 \cdot \bar {v} - v_i \) |
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| Symbol | English | Metric |
| \( \bar {v} \) = Average Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
| \( v_i \) = Initial Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
| \( v_f \) = Final Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |