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Answer :
Final answer:
The cheetah will catch the gazelle in approximately 4.05 seconds.
Explanation:
In order to determine how long it takes for the cheetah to catch the gazelle, we need to calculate the time it takes for the cheetah to cover the distance between them. The gazelle is 99.3 meters ahead of the cheetah. To calculate this, we can use the equation:
time = distance / speed
Using the speeds of the cheetah (103 km/h) and the gazelle (76.5 km/h), we can convert them to meters per second and then calculate the time it takes for the cheetah to cover the 99.3 meter distance:
cheetah speed = 103 km/h x (1000 m/km) / (3600 s/h) = 28.6 m/s
gazelle speed = 76.5 km/h x (1000 m/km) / (3600 s/h) = 21.3 m/s
Using the formula, we can calculate the time it takes for the cheetah to catch the gazelle:
time = 99.3 m / (28.6 m/s - 21.3 m/s) = 4.05 seconds
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