Final answer:
The average speed of a cyclist who completes two rounds on a 500-meter track in 30 minutes is 0.5556 m/s, which does not match the options provided.
Step-by-step explanation:
To find the average speed of the cyclist, we need to use the formula:
Average speed = Total distance traveled / Total time taken
The cyclist completes two rounds of the track which is 500 meters long. Therefore, the total distance is:
2 rounds × 500 meters/round = 1000 meters
The total time taken is given as 30 minutes. To convert minutes into seconds (since speed is asked in meters per second, m/s), we multiply by 60:
30 minutes × 60 seconds/minute = 1800 seconds
Now we can calculate the average speed:
Average speed = 1000 meters / 1800 seconds = 0.5556 m/s
This answer does not match any of the options provided (a) 10 m/s, (b) 16.67 m/s, (c) 20 m/s, (d) 25 m/s, which suggests there might have been a possible typographical error in the question or the options provided. The correct average speed is 0.5556 m/s.