Convert a speed of 30.6 km/h to m/s.

Difficulty: Easy

Correct Answer: 8.5 m/s

Explanation:

Introduction / Context:The conversion between km/h and m/s uses the factor 1 km/h = 1000/3600 m/s = 5/18 m/s. Equivalently, divide km/h by 3.6 to get m/s.

Given Data / Assumptions:

  • Speed = 30.6 km/h.

Concept / Approach:m/s = (km/h) / 3.6.

Step-by-Step Solution:

30.6 / 3.6 = 8.5Therefore, 30.6 km/h = 8.5 m/s

Verification / Alternative check:Using 5/18: 30.6 * (5/18) = 153/18 = 8.5 m/s.

Why Other Options Are Wrong:Large values like 110.16 m/s are off by a factor of 12.96; small values like 1.7 m/s ignore proper conversion.

Common Pitfalls:Multiplying by 3.6 instead of dividing when converting from km/h to m/s.

Final Answer:8.5 m/s

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