Answer :
Final answer:
By calculating the relative speed between the cheetah and the gazelle, it can be found that it would take approximately 25.2 seconds for a cheetah to catch up a gazelle which is 97.3 meters ahead.
Explanation:
The subject of this question is relative speed, a topic in Physics, but it is being approached as a Mathematics problem. Given their maximum speeds, we can find out how fast the cheetah is catching up by subtracting the gazelle's speed from the cheetah's, which is (91.8 km/h - 77.9 km/h) = 13.9 km/h. To convert this to meters per second, we multiply by 1000 (to convert km to m) and divide by 3600 (to convert hours to seconds), which gives approximately 3.86 m/s. Since the gazelle is 97.3 meters ahead, we find the time it would take the cheetah to catch up by dividing the distance by the relative speed. This gives (97.3 m / 3.86 m/s) = approximately 25.2 seconds.
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