Speed Conversion
1. The problem asks to convert the speed of a cheetah from meters per second (m/s) to kilometers per hour (km/h).
2. Given speed is $22.7 \text{ m/s}$.
3. Use the given conversion factors:
- $1 \text{ km} = 1000 \text{ m}$
- $1 \text{ min} = 60 \text{ sec}$
- $1 \text{ hour} = 60 \text{ min}$
4. First, convert meters to kilometers:
$$22.7 \text{ m/s} = \frac{22.7}{1000} \text{ km/s} = 0.0227 \text{ km/s}$$
5. Next, convert seconds to hours:
Since $1 \text{ hour} = 3600 \text{ sec}$ (because $60 \times 60 = 3600$), multiply by $3600$ to get km/h:
$$0.0227 \text{ km/s} \times 3600 \text{ s/hour} = 81.72 \text{ km/h}$$
6. Finally, round to the nearest tenth:
$$81.72 \approx 81.7$$
**Answer:** The cheetah's speed is approximately $81.7$ km/h.