A person takes 4.5 seconds to go from x=3.0 meters. They move to x=6.0 meters

To find the average velocity of the person during their movement, you can use the formula for average velocity:

\[
\text{Average Velocity} = \frac{\text{Change in Position}}{\text{Time Taken}}
\]

Given:
- Initial position, \( x_1 = 3.0 \, \text{meters} \)
- Final position, \( x_2 = 6.0 \, \text{meters} \)
- Time taken, \( t = 4.5 \, \text{seconds} \)

First, calculate the change in position:

\[
\Delta x = x_2 - x_1 = 6.0 \, \text{meters} - 3.0 \, \text{meters} = 3.0 \, \text{meters}
\]

Now, calculate the average velocity:

\[
\text{Average Velocity} = \frac{3.0 \, \text{meters}}{4.5 \, \text{seconds}} \approx 0.67 \, \text{meters/second}
\]

### Summary:
- The average velocity of the person is approximately \( 0.67 \, \text{meters/second} \).

Would you like more details, or do you have any questions? 

Here are some related questions:
1. What is the difference between average speed and average velocity?
2. How would the velocity change if the person had moved from \(x=6.0\) meters to \(x=3.0\) meters?
3. What would be the average velocity if the time taken was halved?
4. How would acceleration affect the average velocity if the person changed speed during the movement?
5. Can you calculate the distance traveled if the person had moved in a curved path instead of a straight line?

**Tip:** Always keep track of units to ensure your calculations are correct, especially when working with velocity and time.

Learn how to calculate average velocity using position and time data. This example solves for average velocity when a person moves from x=3.0 meters to x=6.0 meters in 4.5 seconds. Detailed step-by-step solution provided.

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