To determine the velocity of the sound wave, we can follow these steps:
1. Identify the given values:
- Distance traveled by the sound wave, [tex]\(\Delta x\)[/tex]: [tex]\(1030 \text{ meters}\)[/tex]
- Time taken for the travel, [tex]\(\Delta t\)[/tex]: [tex]\(3 \text{ seconds}\)[/tex]
2. Use the formula for velocity:
[tex]\[
\text{velocity} = \frac{\Delta x}{\Delta t}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
\text{velocity} = \frac{1030 \text{ meters}}{3 \text{ seconds}}
\][/tex]
4. Perform the division:
[tex]\[
\text{velocity} = 343.3333333333333 \text{ meters/second}
\][/tex]
5. Round to the nearest tenth:
[tex]\[
\text{velocity} \approx 343.3 \text{ meters/second}
\][/tex]
The magnitude of the velocity is [tex]\(343.3 \text{ meters/second}\)[/tex], and since the direction is toward your ear, we can consider it a positive direction in this context. Therefore, the rounded velocity of the wave is [tex]\(+343.3 \text{ meters/second}\)[/tex].
