To convert the speed of a Velociraptor from miles per hour (mi/hr) to meters per second (m/s), we can follow these steps:
1. Identify the given speed:
The speed is given as [tex]\(24 \text{ mi/hr}\)[/tex].
2. Convert miles to meters:
We know that [tex]\(1 \text{ mile} = 1609 \text{ meters}\)[/tex].
Thus, to convert 24 miles to meters:
[tex]\[
24 \text{ miles} \times 1609 \text{ meters/mile} = 38616 \text{ meters}
\][/tex]
3. Convert hours to seconds:
We know that [tex]\(1 \text{ hour} = 3600 \text{ seconds}\)[/tex].
Therefore, to convert hours to seconds, we need to convert 1 hour to seconds:
[tex]\[
1 \text{ hour} \times 3600 \text{ seconds/hour} = 3600 \text{ seconds}
\][/tex]
4. Calculate the speed in meters per second:
We have the total distance in meters (38616 meters) and the total time in seconds (3600 seconds). Now we will find the speed in meters per second by dividing the total distance by the total time:
[tex]\[
\frac{38616 \text{ meters}}{3600 \text{ seconds}} = 10.726666666666667 \text{ m/s}
\][/tex]
So, a Velociraptor running at [tex]\(24 \text{ mi/hr}\)[/tex] is equivalent to running at approximately [tex]\(10.73 \text{ m/s}\)[/tex].
