To convert a speed from meters per second ([tex]\( \frac{m}{s} \)[/tex]) to meters per hour ([tex]\( \frac{m}{h} \)[/tex]), we need to understand the relationship between seconds and hours. There are 3600 seconds in one hour, as an hour consists of 60 minutes and each minute has 60 seconds (60 × 60 = 3600).
Given that the speed is 450 meters per second ([tex]\( \frac{m}{s} \)[/tex]), we will use this relationship to convert it to meters per hour.
### Step-by-Step Conversion:
1. Identify the given speed:
- Speed = 450 meters per second ([tex]\( \frac{m}{s} \)[/tex])
2. Know the time conversion factor:
- 1 hour = 3600 seconds
3. Convert the speed to meters per hour:
To convert meters per second to meters per hour, we multiply the speed by the number of seconds in an hour.
[tex]\[
\text{Speed in} \, \frac{m}{h} = 450 \, \frac{m}{s} \times 3600 \, \frac{s}{h}
\][/tex]
4. Perform the multiplication:
- [tex]\( 450 \times 3600 = 1620000 \)[/tex]
Thus, the speed of 450 meters per second is equivalent to 1,620,000 meters per hour ([tex]\( \frac{m}{h} \)[/tex]).
So, the final converted speed is:
[tex]\[
1620000 \, \frac{m}{h}
\][/tex]
