The Question is from neet-physics units-and-measurement conversion-of-units-for-one-system-to-another, and it was created by the author P.NARASIMHA

Question

A car travels 100 km in 2 hours. What is its speed in m/s?

P.NARASIMHA · Accepted Answer

## CORE INFORMATION
✓ **Answer**: [Option B]
## CONCEPT FRAMEWORK
	**Primary Concept**: Speed Calculation
	**Related Topics**: Unit Conversion, Distance, Time
	**Prerequisites**: Basic understanding of speed, distance, time relationships and unit conversion.
## SOLUTION PATHWAY
**Given Information**:
	Distance = 100 km
	Time = 2 hours
	We need to find speed in m/s
**Method & Steps**:
	1. Convert distance from kilometers to meters.
		Reasoning: Since we need speed in m/s, distance must be in meters.
		Formula/Rule: 1 km = 1000 m
	2. Convert time from hours to seconds.
		Reasoning: Since we need speed in m/s, time must be in seconds.
		Formula/Rule: 1 hour = 3600 seconds
	3. Calculate speed using the formula: speed = distance / time.
		Working: distance = 100 km * 1000 m/km = 100000 m; time = 2 hours * 3600 s/hour = 7200 s; speed = 100000 m / 7200 s = 13.89 m/s
		Key Point: Ensure all units are consistent before calculation.
	4. Final Result
		Result: Speed = 13.89 m/s
		Verification: Result matches Option B
## OPTION ANALYSIS
[A] :x: Incorrect conversion or calculation
[B] ✓: Correct calculation based on unit conversions
[C] :x: Incorrect division or conversion
[D] :x: Incorrect calculation, neglecting unit conversions.
## LEARNING AIDS
	**Common Mistakes**:
		1.[Error 1]: Forgetting to convert units. Avoid by always converting to the required units before calculating.
		2.[Error 2]: Incorrectly converting hours to seconds. Remember 1 hour is 3600 seconds, not 60 or 100.
	**Quick Tips**:
		1.[Helpful shortcut]: Remember the conversion factors: 1 km = 1000 m, 1 hour = 3600 seconds
		2.[Memory aid]: Always write down all the units when calculating to avoid unit errors.

P.NARASIMHA · Answer

27.78 m/s

P.NARASIMHA · Answer

The correct Option is "13.89 m/s"

P.NARASIMHA · Answer

6.94 m/s

P.NARASIMHA · Answer

50 m/s

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