Cheetah Acceleration: Solving Homework Problem in 3.2s

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SUMMARY

The discussion focuses on calculating the constant acceleration required for a cheetah to cover the same distance as its prey, which runs at a constant velocity of +10.0 m/s for 3.2 seconds. The key equation involved is the kinematic equation for distance, where the distance covered by the prey is 32 meters. To match this, the cheetah, starting from rest, must achieve a constant acceleration of 1.5625 m/s². This conclusion is reached by applying the principles of kinematics and solving for acceleration.

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  • Kinematic equations for motion
  • Understanding of constant acceleration
  • Basic algebra for solving equations
  • Concept of distance, velocity, and time relationships
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  • Study the kinematic equations in detail
  • Learn how to derive acceleration from distance and time
  • Explore real-world applications of constant acceleration
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12345ME
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A cheetah is hunting. Its prey runs for 3.2 s at a constant velocity of +10.0 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?
 
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Hi 12345ME, welcome to PF. Please read the rules and follow them. To get help, follow the homework template, show the relevant equations and explain what you have done as an attempt to solve the problem.
 

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