Thank you for visiting A cheetah can run at a maximum speed of 97 8 km h and a gazelle can run at a maximum speed of 75 5. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
Using the concept of relative velocity, the cheetah, running at a catching speed of approximately 6.194 m/s, would take about 13.6 seconds to catch the gazelle which is 84 meters ahead.
Explanation:
The subject addressed in this question is relative velocity in Physics. The cheetah and the gazelle are running at different speeds, and we want to know how long it will take for the faster one (cheetah) to catch up with the slower one (gazelle).
- The cheetah's speed is 97.8 km/h, and the gazelle's speed is 75.5 km/h.
- The difference in speed is 97.8 - 75.5 = 22.3 km/h.
To convert this speed to m/s (since our distance is in meters), multiply by 1000 (to change km to m) and divide by 3600 (to change hours to seconds), giving the catching speed as approximately 6.194 m/s.
With the gazelle 84 meters ahead, and the cheetah closing at approximately 6.194 m/s, you would then divide the distance by the difference in speed to get the time it takes for the cheetah to catch the gazelle. Hence, time = 84/6.194 = 13.6 seconds. But none of the given options match this result. Perhaps, there's a typo in the question or options.
Learn more about Relative Velocity here:
https://brainly.com/question/34025828
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