Converting a speed from kilometers per hour ([tex]\(\frac{km}{h}\)[/tex]) to meters per second ([tex]\(\frac{m}{s}\)[/tex]) involves two main steps: converting kilometers to meters and converting hours to seconds. Let's go through the process step-by-step.
1. Start with the given speed:
[tex]\[ 20 \frac{km}{h} \][/tex]
2. Convert kilometers to meters:
We know that 1 kilometer is equal to 1000 meters. Therefore:
[tex]\[ 20 \frac{km}{h} = 20 \times 1000 \frac{m}{h} = 20000 \frac{m}{h} \][/tex]
3. Convert hours to seconds:
We know that 1 hour is equal to 3600 seconds. So, we need to convert hours into seconds:
[tex]\[ 20 \frac{km}{h} = \frac{20000 \, meters}{1 \, hour} \][/tex]
Since 1 hour = 3600 seconds:
[tex]\[ 20 \frac{km}{h} = \frac{20000 \, meters}{3600 \, seconds} \][/tex]
4. Divide the number of meters by the number of seconds to get meters per second:
[tex]\[ \frac{20000}{3600} \frac{m}{s} \approx 5.555555555555555 \frac{m}{s} \][/tex]
Therefore, the speed of [tex]\( 20 \frac{km}{h} \)[/tex] is approximately [tex]\( 5.555555555555555 \frac{m}{s} \)[/tex].
