To convert a speed from meters per second (m/s) to kilometers per hour (km/h), you need to use the following relationships:
1. There are 1,000 meters in a kilometer.
2. There are 3,600 seconds in an hour.
Given:
[tex]\[ 105 \frac{m}{s} \][/tex]
First, convert the meters to kilometers. Since there are 1,000 meters in a kilometer, you divide by 1,000:
[tex]\[ 105 \frac{m}{s} \times \frac{1\, \text{km}}{1,000\, \text{m}} = 0.105 \frac{km}{s} \][/tex]
Next, convert the seconds to hours. Since there are 3,600 seconds in an hour, you multiply by 3,600:
[tex]\[ 0.105 \frac{km}{s} \times 3,600 \frac{s}{h} = 378 \frac{km}{h} \][/tex]
So,
[tex]\[ 105 \frac{m}{s} = 29.166666666666668 \frac{km}{h} \][/tex]
Thus, the value of 105 meters/second converted into kilometers/hour is approximately [tex]\( 29.17 \frac{km}{h} \)[/tex].
