Final answer:
The track star's average running rate for the 100.0 m dash, which he completed in 9.82 seconds, is approximately 36.63 km/h after converting meters to kilometers and seconds to hours.
Step-by-step explanation:
To calculate the speed of the track star in km/h, we need to convert the distance from meters to kilometers and the time from seconds to hours before finding the speed.
First, we convert the distance:
- 100.0 m = 0.100 km (since 1 km = 1000 m)
Next, we convert the time:
- 9.82 s = 9.82/3600 h ≈ 0.002728 h (since 1 hour = 3600 seconds)
Now, we can calculate the speed using the formula:
Speed = Distance / Time
Substituting the values we get:
Speed = 0.100 km / 0.002728 h ≈ 36.63 km/h
Therefore, the track star's average running rate for the 100.0 m dash is approximately 36.63 km/h.