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A greyhound is running at 40 kilometers per hour. How fast is that in meters per second?

(Note: 1 km = 1000 m and 1 hr = 3600 s)

Answer :

To solve the question of converting the speed of a greyhound from kilometers per hour (km/h) to meters per second (m/s), we need to follow these steps:

1. Understand the units involved:
- 1 kilometer (km) is equal to 1000 meters (m).
- 1 hour (hr) is equal to 3600 seconds (s).

2. Given data:
- The greyhound runs at 40 kilometers per hour (km/h).

3. Convert kilometers per hour to meters per second:
- First, convert kilometers to meters:
[tex]\[ 40 \text{ km/h} = 40 \times 1000 \text{ m/h} \][/tex]
[tex]\[ 40 \times 1000 = 40000 \text{ m/h} \][/tex]

- Next, convert hours to seconds:
[tex]\[ 1 \text{ hour} = 3600 \text{ seconds} \][/tex]

- Now, divide the meters per hour by the number of seconds in an hour to get meters per second:
[tex]\[ \frac{40000 \text{ m}}{3600 \text{ s}} \approx 11.1111 \text{ m/s} \][/tex]

So, the speed of the greyhound in meters per second is approximately [tex]\( 11.1111 \)[/tex] m/s.

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