A sprinter set a high school record in track and field, running 200.0 m in 21.5s . What is the average speed of the sprinter in kilometers per hour?
To find the average speed of the sprinter in kilometers per hour, we first need to convert the distance from meters to kilometers and the time from seconds to hours.
1 kilometer is equal to 1000 meters.
To convert 200.0m to kilometers, we divide by 1000:
200.0m ÷ 1000 = 0.2km
To convert 21.5s to hours, we divide by 3600 (since there are 60 seconds in a minute and 60 minutes in an hour):
21.5s ÷ 3600 = 0.00597h (rounded to 5 decimal places)
Now that we have the distance in kilometers (0.2km) and the time in hours (0.00597h), we can find the average speed by dividing the distance by the time:
Average Speed = Distance ÷ Time
Average Speed = 0.2km ÷ 0.00597h
Calculating this:
Average Speed ≈ 33.5 km/h
Therefore, the average speed of the sprinter is approximately 33.5 kilometers per hour.
To find the average speed of the sprinter in kilometers per hour, we need to convert the distance from meters to kilometers and the time from seconds to hours. Here's how you can do it step-by-step:
Step 1: Convert the distance from meters to kilometers:
200.0 m = 200.0 / 1000 = 0.2 km
Step 2: Convert the time from seconds to hours:
21.5 s = 21.5 / 3600 = 0.00597222 hrs
Step 3: Calculate the average speed in kilometers per hour:
Average Speed = Distance / Time
Average Speed = 0.2 km / 0.00597222 hrs
To simplify the calculation, let's divide both the numerator and denominator by 0.00597222:
Average Speed = (0.2 km / 0.00597222 hrs) * (1 / 0.00597222)
Average Speed = 33.428571 km/hr
Therefore, the average speed of the sprinter is approximately 33.43 kilometers per hour.