A. Calculate speed: 1. Distance = 437 km, Time = 4.75 hours 2. Distance = 1440 km, Time = 18 hours 3. Distance = 1020 km, Time = 12 hours 4. In m/s if it is 72 km/h. 5. In km/h if it is 15 m/min. 6. In m/min if it is 60 km/h.
The Correct Answer and Explanation is:
1. Speed = Distance / Time
Given:
- Distance = 437 km
- Time = 4.75 hours
Speed = 437 km / 4.75 hours = 92 km/h
2. Speed = Distance / Time
Given:
- Distance = 1440 km
- Time = 18 hours
Speed = 1440 km / 18 hours = 80 km/h
3. Speed = Distance / Time
Given:
- Distance = 1020 km
- Time = 12 hours
Speed = 1020 km / 12 hours = 85 km/h
4. Speed in m/s if it is 72 km/h
To convert km/h to m/s, multiply by 1000 (to convert km to meters) and divide by 3600 (to convert hours to seconds).
Given:
- Speed = 72 km/h
Speed in m/s = (72 × 1000) / 3600 = 20 m/s
5. Speed in km/h if it is 15 m/min
To convert m/min to km/h, multiply by 60 (to convert minutes to hours) and divide by 1000 (to convert meters to kilometers).
Given:
- Speed = 15 m/min
Speed in km/h = (15 × 60) / 1000 = 0.9 km/h
6. Speed in m/min if it is 60 km/h
To convert km/h to m/min, multiply by 1000 (to convert km to meters) and divide by 60 (to convert hours to minutes).
Given:
- Speed = 60 km/h
Speed in m/min = (60 × 1000) / 60 = 1000 m/min
Explanation:
Speed is the distance traveled over a certain period of time, typically calculated using the formula: Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}Speed=TimeDistance
For the conversions between units like km/h and m/s or m/min and km/h, we use the relationships between kilometers and meters (1000 meters in a kilometer), and between hours and minutes (60 minutes in an hour). By performing the necessary conversions using multiplication and division, we can switch between different units of measurement while maintaining the same physical quantity (speed).
