Answer:
9.8 m/s² is equivalent to 35.28 km/h².
Explanation:
Step 1: Identify Conversion Rates :
- 1 kilometer (km) = 1000 meters (m)
- 1 hour (h) = 3600 seconds (s)
Step 2: Build Conversion Factor
We want to convert from m/s² to km/h². To achieve this unit cancellation, we need a factor that includes:
- 1 km to cancel out meters (m)
- 3600 seconds (s) to cancel out seconds (s)
- Divide both by 1 hour (h) to get final unit of hours (h) squared
Conversion Factor: (1 km / 1000 m) * (3600 s / 1 h)
Step 3: Apply Conversion :
Multiply the acceleration value (9.8 m/s²) by the conversion factor:
Acceleration (km/h²) = 9.8 m/s² * (1 km / 1000 m) * (3600 s / 1 h)
Step 4: Simplify and Evaluate :
(We can rearrange the multiplication order as long as we multiply by all factors):
Acceleration (km/h²) ≈ 9.8 * (1/1000) * (3600) km/h² ≈ 35.28 km/h²
Therefore 9.8 m/s² is equivalent to approximately 35.28 km/h².
