Difficulty: Easy
Correct Answer: 57.6 km/hr
Explanation:
Introduction / Context:
Speed conversions between m/s and km/h are common in motion problems. The exact factor is 3.6 because 1 km = 1000 m and 1 hour = 3600 s, so (1000/3600) = 1/3.6; inversely, multiply by 3.6 to go from m/s to km/h.
Given Data / Assumptions:
Concept / Approach:
Use km/h = (m/s) * 3.6. This conversion preserves numerical accuracy and avoids rounding until the end.
Step-by-Step Solution:
km/h = 16 * 3.6 = 57.6.
Verification / Alternative check:
Reverse conversion: 57.6 km/h to m/s = 57.6 / 3.6 = 16 m/s, confirming correctness.
Why Other Options Are Wrong:
40.3 and 51.16 km/h reflect incorrect factors; 64.8 km/h corresponds to 18 m/s; “None of these” is false because an exact option exists.
Common Pitfalls:
Using 3.33 instead of 3.6; mixing units mid-calculation.
Final Answer:
57.6 km/hr
Discussion & Comments