Speed of a Cheetah

To determine the speed of a cheetah, we need to calculate the distance it covers and the time it takes. In this case, the cheetah runs a distance of 200 km in 10 seconds.

Converting Seconds to Hours

To calculate the speed in km/hr, we need to convert the time from seconds to hours. There are 60 seconds in a minute and 60 minutes in an hour, so we can use the following formula:

Time in hours = Time in seconds / (60 * 60)

Therefore, the time in hours is:
10 seconds / (60 * 60) = 0.00278 hours

Calculating Speed in m/s

To calculate the speed in m/s, we need to use the formula:
Speed = Distance / Time

In this case, the distance is given as 200 km and the time is 10 seconds.

Speed in m/s = 200 km / 10 seconds

To convert kilometers to meters, we multiply by 1000:
Speed in m/s = (200 km * 1000 m/km) / 10 seconds

Simplifying the calculation gives us:
Speed in m/s = 20,000 m / 10 seconds
Speed in m/s = 2,000 m/s

Calculating Speed in km/hr

To calculate the speed in km/hr, we use the formula:
Speed = Distance / Time

In this case, the distance is given as 200 km and the time is 0.00278 hours.

Speed in km/hr = 200 km / 0.00278 hours

To convert hours to seconds, we multiply by (60 * 60):
Speed in km/hr = 200 km / (0.00278 hours * 60 * 60 seconds/hour)

Simplifying the calculation gives us:
Speed in km/hr = 200 km / 10 seconds
Speed in km/hr = 72,000 km/hr

Summary

The cheetah's speed is calculated to be:
- 2,000 m/s (meters per second)
- 72,000 km/hr (kilometers per hour)