Subjects physics

Speed Conversion

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

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.