Which formula is used to calculate average velocity? \begin{aligned} & V_{a v g}=\frac{x_{f}-x_{i}}{t_{f}-t_{i}} \\ & V_{a v g}=\frac{t_{f}-t_{i}}{x_{f}-x_{i}} \\ & V_{a v g}=\frac{d}{t} \\ & V_{a v g}=\frac{t}{d} \end{aligned}
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Answer

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Step 1
: Identify the correct formula for average velocity.

The correct formula to calculate average velocity is given by the first option: where 1$ is the initial time.

Step 2
: Analyze the other options.

The third and fourth options, \(V_{avg} = \frac{d}{t}\) and \(V_{avg} = \frac{t}{d}\), are missing crucial information.
Average speed is the total distance traveled divided by the total time, whereas average velocity is the displacement (change in position) divided by the time interval. The first one assumes that distance (1$) is given instead of the time interval. However, these options do not account for the possibility that only the positions and time values are provided, which is why the first formula is the correct one to use in general.

Final Answer

The correct formula for calculating average velocity is: V_{avg} = \frac{x_f - x_i}{t_f - t_i}