How Far Must a Gazelle Run to Escape a Cheetah?

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SUMMARY

The discussion focuses on calculating the minimum distance a gazelle must be ahead of a cheetah to escape its pursuit. The cheetah can run at a maximum speed of 100 km/hr for 30 seconds, while the gazelle runs at 80 km/hr. The key equation derived is the minimum distance, which is calculated using the formula: minimum distance = relative speed × time. The relative speed between the cheetah and the gazelle is essential for determining this distance.

PREREQUISITES
  • Understanding of relative speed concepts
  • Basic knowledge of kinematics
  • Familiarity with speed, distance, and time equations
  • Ability to perform unit conversions if necessary
NEXT STEPS
  • Calculate the relative speed between a cheetah and a gazelle
  • Learn how to apply kinematic equations in real-world scenarios
  • Explore the concept of maximum speed and its implications in animal behavior
  • Investigate other predator-prey dynamics in terms of speed and distance
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Students studying physics, wildlife biologists, and anyone interested in understanding predator-prey dynamics and speed calculations.

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Homework Statement



A cheetah can maintain its maximum speed of 100 km/hr for 30.0 seconds. What minimum distance must a gazelle running 80.0 km/hr be ahead of the cheetah to escape?

Homework Equations



What equation do i start his out with? I'm not even sure what to start lookinf or here.

The Attempt at a Solution

 
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Find the relative speed between cheetah and gazelle.
Then the minimum distance = relative speed X time.
 

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