Acceleration Logic is this right?

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    Acceleration Logic
AI Thread Summary
The discussion revolves around calculating the acceleration of a speed skater who slows down while traversing a rough patch of ice. The initial speed is 8 m/s, and after slowing down, the skater moves at 6 m/s over a distance of 5 m. The attempted solution calculates acceleration as -1/5 m/s², but there is uncertainty about the logic used. It is suggested to consider the average speed during the slowdown to find the time taken for the 5 m distance. The conversation emphasizes the importance of using the average speed for accurate calculations.
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Homework Statement


A speed skater moving across frictionless ice at 8m/s hits a 5m patch of ice. She slows steadily then continues at 6m/s. What is her acceleration on the rough ice?


Homework Equations


Not sure


The Attempt at a Solution


6m/s - 8m/s = -2m/s * 1/5m = 1/10 s

-2m/s * 1/10s = -1/5m/s^2

I'm not sure if my logic follows through
 
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I don't understand what you are trying to do. If you're trying to find the time it takes to traverse that 5m patch, consider the average speed of the skater during that time. Then you can use Distance = ave speed * time to find the time.
 
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