Certainly! Let's calculate the average velocity for each fan speed step-by-step using the given data.
We are provided with the following information:
- Elapsed time to finish a distance of 500 cm.
- We need to find the average velocity for low, medium, and high fan speeds.
To find the average velocity, we can use the formula:
[tex]\[
\text{Average Velocity} = \frac{\text{Total Distance}}{\text{Time}}
\][/tex]
Let's apply this formula to each fan speed.
### 1. Low Fan Speed
- Elapsed Time: 7.4 seconds
- Total Distance: 500 cm
Substitute the values into the formula:
[tex]\[
\text{Average Velocity (Low Fan Speed)} = \frac{500 \, \text{cm}}{7.4 \, \text{s}}
\][/tex]
[tex]\[
\text{Average Velocity (Low Fan Speed)} \approx 67.57 \, \text{cm/s}
\][/tex]
### 2. Medium Fan Speed
- Elapsed Time: 6.4 seconds
- Total Distance: 500 cm
Substitute the values into the formula:
[tex]\[
\text{Average Velocity (Medium Fan Speed)} = \frac{500 \, \text{cm}}{6.4 \, \text{s}}
\][/tex]
[tex]\[
\text{Average Velocity (Medium Fan Speed)} \approx 78.13 \, \text{cm/s}
\][/tex]
### 3. High Fan Speed
- Elapsed Time: 5.6 seconds
- Total Distance: 500 cm
Substitute the values into the formula:
[tex]\[
\text{Average Velocity (High Fan Speed)} = \frac{500 \, \text{cm}}{5.6 \, \text{s}}
\][/tex]
[tex]\[
\text{Average Velocity (High Fan Speed)} \approx 89.29 \, \text{cm/s}
\][/tex]
Thus, the values for the average velocities in cm/s are:
[tex]\[
\approx 67.57 \, \text{cm/s}, \quad 78.13 \, \text{cm/s}, \quad 89.29 \, \text{cm/s}
\][/tex]
These are the respective average velocities for low, medium, and high fan speeds.
