Answer :
To find out how long it would take for the cheetah to catch up to the gazelle, we need to determine their relative speed, convert the distance to kilometers, and calculate the time it would take.
To find out how long it would take for the cheetah to catch up to the gazelle, we first need to determine the relative speed between the two animals. We can do this by subtracting their speeds: 99.8 km/h - 71.7 km/h = 28.1 km/h.
Next, we need to convert the distance between them from meters to kilometers, since the speeds are given in km/h. 81.1 m = 0.0811 km.
Finally, we can calculate the time it would take for the cheetah to catch up to the gazelle by dividing the distance by the speed:
0.0811 km / 28.1 km/h = 0.00289 hours.
But we want the answer in seconds, so we multiply by 3600 (the number of seconds in an hour):
0.00289 hours * 3600 seconds/hour = 10.4 seconds.
Learn more about Relative speed here:
https://brainly.com/question/32038972
#SPJ11