What is the Acceleration of a Cheetah Reaching Full Speed in 3 Strides?

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SUMMARY

The acceleration of a cheetah reaching full speed in three strides can be calculated using kinematic equations. The cheetah accelerates from 0 to 18.0 m/s in three strides of 4.1 m each, resulting in a total distance of 12.3 m. By applying the equation for constant acceleration, the cheetah's acceleration is determined to be approximately 6.3 m/s². This calculation does not require a time variable, as the average speed can be utilized to find the necessary parameters.

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Homework Statement



A cheetah, the fastest of all land animals over a short distance, can accelerate from zero to 18.0 m/s in three strides and to a full speed of 31.3 m/s in seconds. Assuming the first three strides are each 4.1 m long and that acceleration is constant until the cheetah reaches full speed, what is the cheetah's acceleration (in m/s2)?

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The Attempt at a Solution



It is a basic question, but I am over looking something because I cannot figure out which equation I should use. From what I know, I need time to find out what the acceleration is, but no time variable is stated. The question also gives you the stride lengths which just confuses me even more.
 
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You should write out all the kinematic equations you know. Given the right equation, you won't need the time. But you can find the time by considering the average speed.
 
Doc Al said:
You should write out all the kinematic equations you know. Given the right equation, you won't need the time. But you can find the time by considering the average speed.

Thanks for the help, I have worked it out now.
 

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