To calculate the average speed of the cyclist over the three hours, we first need to determine the total distance traveled and the total time taken.
Total Distance:
- Distance in the first hour: 1 km
- Distance in the second hour: 5 km
- Distance in the third hour: 3 km
Total distance = 1 km + 5 km + 3 km = 9 km
Total Time:
- First hour: 1 hour
- Second hour: 1 hour
- Third hour: 1 hour
Total time = 1 hour + 1 hour + 1 hour = 3 hours
Average Speed:
The average speed can be calculated using the formula:
Average Speed = Total Distance / Total Time
Substituting the values:
Average Speed = 9 km / 3 hours = 3 km/hr
Conversion from km/hr to m/s:
To convert km/hr to m/s, we use the conversion factor:
1 km/hr = 1000 m / 3600 s = 1/3.6 m/s
Now, converting the average speed:
Average Speed in m/s = 3 km/hr × (1/3.6 m/s) ≈ 0.833 m/s
Final Result:
The cyclist’s average speed is approximately:
- 3 km/hr
- 0.833 m/s