To convert speed from kilometers per hour (km/h) to meters per second (m/s), you can use the following conversion factor:
1 km/h = 1000 meters / 3600 seconds = \( \frac{1}{3.6} \) m/s.
So, to convert km/h to m/s, you can divide the speed in km/h by 3.6.
Conversion formula: \[ \text{Speed in m/s} = \frac{\text{Speed in km/h}}{3.6} \]
Example: If you have a speed of 72 km/h: \[ \text{Speed in m/s} = \frac{72}{3.6} = 20 \text{ m/s} \]
Converting km/h to Time in Seconds
If you want to convert the distance traveled at a speed of km/h to time in seconds, you can use the following steps:
- Convert the speed from km/h to m/s.
- Determine how far (in meters) you want to travel.
- Use the formula:
\[ \text{Time (seconds)} = \frac{\text{Distance (meters)}}{\text{Speed (m/s)}} \]
Example: If a vehicle is traveling at 72 km/h and you want to know how long it will take to travel 1000 meters:
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Convert 72 km/h to m/s: \[ \text{Speed in m/s} = \frac{72}{3.6} = 20 \text{ m/s} \]
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Use the formula for time: \[ \text{Time} = \frac{1000 \text{ meters}}{20 \text{ m/s}} = 50 \text{ seconds} \]
So, it would take 50 seconds to travel 1000 meters at a speed of 72 km/h.