Luna Fuentes
08/19/2023 · Senior High School
A sprinter set a high school record in track and field, running 200.0 m in 20.9 s . What is the average speed of the sprinter in kilometers per hour? Express your answer numerically in kilometers per hour. View Available Hint(s)
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Step-by-step Solution
To find the average speed of the sprinter in kilometers per hour (km/h), we can use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
1. **Convert the distance from meters to kilometers**:
\[
200.0 \, \text{m} = 200.0 \, \text{m} \times \frac{1 \, \text{km}}{1000 \, \text{m}} = 0.2 \, \text{km}
\]
2. **Convert the time from seconds to hours**:
\[
20.9 \, \text{s} = 20.9 \, \text{s} \times \frac{1 \, \text{hour}}{3600 \, \text{s}} \approx 0.00580556 \, \text{hours}
\]
3. **Calculate the average speed**:
\[
\text{Speed} = \frac{0.2 \, \text{km}}{0.00580556 \, \text{hours}} \approx 34.4 \, \text{km/h}
\]
Thus, the average speed of the sprinter is approximately **34.4 km/h**.
Quick Answer
The average speed of the sprinter is approximately 34.4 km/h.
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