Only using 2/3 Motion equations

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The discussion centers on the practical application of the three equations of motion: Final speed = initial speed + acceleration * time, change in displacement = initial speed * time + 0.5 * acceleration * (time)^2, and Final velocity^2 = initial velocity^2 + (2 * acceleration * displacement). Participants highlight that only two of these equations are necessary for solving most problems, with a preference for the second equation due to its versatility. The third equation is noted as less frequently used, primarily applicable when time is not available. Understanding the definitions of displacement, velocity, and acceleration is essential for utilizing these equations effectively.

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We all know the three equations of motion

Final speed = initial speed + acceleration *time

change in displacement = initial speed * Time + .5 (acceleration) * (time)^2

FInal velocity ^2 = initial velocity ^2 + (2 * acceleration * displacment)


However i recall reading somewhere (possibly), that you should/can only ever use 2 out of 3 of these equations. Why is this?
 
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I personally find that i rarely use
FInal velocity ^2 = initial velocity ^2 + (2 * acceleration * displacement) since its only used when you do not have a time and are solving for something else but with the other two you can pretty much solve for anything and even if you think you can't you can still set up simultanious equations with them. the best one of the three is probably change in displacement = initial speed * Time + .5 (acceleration) * (time)^2 since you can use it in just about any situation.
 
Really, you only need the definitions of displacement, velocity, and acceleration, and the equations follow as mathematical identities.
 

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