Dunn West
10/17/2023 · High School
Q5. Which of the following gives the average velocity of an athlete running on a circular track with a circumference of 0.25 km , if that athlete runs 1 km in 4 minutes?
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To find the average velocity of the athlete running on a circular track, we need to consider the definition of average velocity, which is the total displacement divided by the total time taken.
1. **Total Distance Run**: The athlete runs 1 km (1000 meters).
2. **Circumference of the Track**: The circumference of the circular track is 0.25 km (250 meters).
3. **Number of Laps**: To find out how many laps the athlete runs, we divide the total distance by the circumference of the track:
\[
\text{Number of laps} = \frac{\text{Total distance}}{\text{Circumference}} = \frac{1 \text{ km}}{0.25 \text{ km}} = 4 \text{ laps}
\]
4. **Displacement**: Since the athlete is running on a circular track and completes 4 laps, they return to the starting point. Therefore, the total displacement is 0 meters.
5. **Total Time Taken**: The athlete runs 1 km in 4 minutes.
6. **Average Velocity**: The average velocity is given by the formula:
\[
\text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} = \frac{0 \text{ meters}}{4 \text{ minutes}} = 0 \text{ m/min}
\]
Thus, the average velocity of the athlete running on the circular track is **0 m/min**.
Quick Answer
The average velocity is 0 m/min.
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