Which Equation Should Be Used for Finding Maximum Constant Deceleration?

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To find maximum constant deceleration given initial speed, time to stop, and distance, the equation v = u + at is appropriate when displacement is not explicitly provided. However, if distance is given, it should correspond with the time and initial speed, suggesting a potential conflict in the problem statement. Both equations can lead to the same result under constant acceleration conditions, but clarity on the definitions of distance and displacement is crucial. The discussion emphasizes that if all parameters are consistent, there is only one value for constant deceleration. Understanding the relationship between distance and displacement is essential for solving the problem accurately.
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Homework Statement



Hi all this is just a quickie, but in one of my texts a question asks to find the maximum constant deceleration given an initial speed, time to stop and the distance it took.

Now I am not sure whether to use v = u + at or s = 1/2at^2 + ut

im thinking more v = u + at becuase I am not given displacement, I am given a distance.. any thoughts? cheers!
 
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Do both give the same answer?
 
If it's constant acceleration, and the given inputs are the initial speed and time to stop, there there is only one possible constant acceleration (deceleration). The maximum and minimum would be the same. I'm not sure why that was mentioned. It the distance to stop is also given, it either corresponds to the time, or else there's a conflict in the problem statement.
 
Why would you think, in this case, that displacement is not equal to distance?
 
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