Convert the speed 3 1/3 m/s into kilometers per hour (km/h).

Introduction / Context:Unit conversions between meters per second (m/s) and kilometers per hour (km/h) are standard. The fixed multiplier simplifies such conversions once memorized.

Given Data / Assumptions:

• Speed = 3 1/3 m/s = 10/3 m/s.
• Conversion factor: 1 m/s = 18/5 km/h.

Concept / Approach:To convert m/s to km/h, multiply by 18/5. This follows from 1 m = 0.001 km and 1 s = 1/3600 h, so (m/s) * (3600/1000) = (18/5) km/h.

Step-by-Step Solution:Express speed as an improper fraction: 3 1/3 = 10/3 m/s.Multiply by 18/5: (10/3)*(18/5) = 180/15 = 12 km/h.

Verification / Alternative check:Reverse conversion: 12 km/h to m/s = 12*(5/18) = 10/3 m/s, confirming consistency.

Why Other Options Are Wrong:8, 9, and 10 km/h are below the exact converted value; only 12 km/h matches.

Common Pitfalls:Using 5/18 instead of 18/5 when converting from m/s to km/h.

Final Answer:12 km/h