Difficulty: Easy
Correct Answer: 3600 m
Explanation:
Introduction / Context:Distance equals speed times time. When a point object crosses a fixed span at constant speed, the distance is simply the span length. Convert all units consistently to metres and seconds or km and hours.
Given Data / Assumptions:
Concept / Approach:Convert 54 km/h to m/s, multiply by time in seconds. Use 1 km = 1000 m and 1 h = 3600 s.
Step-by-Step Solution:
Convert speed: 54 km/h = (54 * 1000) / 3600 m/s = 15 m/s.Time: 4 minutes = 240 s.Distance = speed * time = 15 * 240 = 3600 m.Verification / Alternative check:Keeping units in km and h: speed = 54 km/h, time = 4/60 h = 1/15 h. Distance = 54 * (1/15) = 3.6 km = 3600 m. Matches.
Why Other Options Are Wrong:2800, 3500, and 4500 m do not follow from the correct conversions. A small unit mistake often leads to these numbers.
Common Pitfalls:Forgetting that 54 km/h equals 15 m/s or converting minutes to seconds incorrectly.
Final Answer:3600 m
Discussion & Comments