Question 29:If a sprinter runs a distance of 100 metres in 9.83 second...
Calculating Average Speed of the Sprinter
Given data:
- Distance covered: 100 meters
- Time taken: 9.83 seconds
Step 1: Convert time to hours
To calculate the average speed in km/h, we first need to convert the time taken from seconds to hours. There are 3600 seconds in an hour, so:
9.83 seconds = 9.83/3600 hours ≈ 0.00273 hours
Step 2: Calculate speed in m/s
Now, we can calculate the speed in meters per second using the formula:
Speed = Distance / Time
Speed = 100 meters / 0.00273 hours ≈ 36597.08 m/s
Step 3: Convert speed to km/h
Finally, to convert the speed from m/s to km/h, we need to multiply by 3.6 (since 1 m/s = 3.6 km/h):
Speed = 36597.08 m/s * 3.6 ≈ 131.63 km/h
Conclusion
The average speed of the sprinter is approximately 131.63 km/h when he runs a distance of 100 meters in 9.83 seconds.