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Answer :
Final answer:
Using relative velocity in physics, the cheetah running at a speed of 101 km/h and the gazelle running at a speed of 70.7 km/h, the cheetah will catch the gazelle in approximately 11.57 seconds.
Explanation:
This problem is an example of relative velocity. When two objects are moving in the same direction, you subtract their velocities. The difference in speed between the cheetah and the gazelle is 101 km/h - 70.7 km/h = 30.3 km/h.
To simplify calculations, convert this speed and the distance the gazelle is ahead into the same units: 30.3 km/h is approximately 8.4167 m/s, and the distance is already given as 97.4 m.
The time it takes for the cheetah to catch the gazelle is determined by dividing the distance the gazelle is ahead by the relative speed. So, t = 97.4 m / 8.4167 m/s, which calculates to approximately 11.57 seconds.
Learn more about Relative Velocity here:
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