How to figure out a equation given the variables

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Homework Help Overview

The discussion revolves around deriving a formula for final velocity (vf) in the context of constant acceleration kinematics, specifically using the variables time (t), initial position (xi), final position (xf), and acceleration (a).

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore different formulations of the kinematic equations, questioning the validity of their attempts and suggesting alternative rearrangements to express vf in terms of the given variables.

Discussion Status

There are multiple attempts to manipulate the kinematic equations, with some participants providing corrections to earlier equations. The discussion reflects a collaborative effort to clarify the relationships between the variables, though no consensus has been reached on a final formula.

Contextual Notes

Participants are working under the constraints of needing to use specific variables and are questioning the correctness of their equations and assumptions about the kinematic relationships.

Kennyh
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Homework Statement


Starting from the constant-acceleration kinematic equations, write a formula that gives vf in terms of t, xi, xf, and a.

Homework Equations


The Attempt at a Solution


I tried using vf = vi + at but it was incorrect. Is there another way where i can solve for vf using the 4 needed variable above? thanks
Also I have tried using this : (xf-xi)+(1/2at) = vi then substitute vi with this equation vf = vi+at. After that I got (xf-xi)+at = vf but it was still incorrect.
 
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(xf-xi)+(1/2at) = vi
This equation is wrong.
It should be
(xf-xi)-(1/2at^2) = vi*t
From the equation vf = vi + at find vi and put it in the above equation and rearrange to get vf
 
what I got was ((xf-xi)-(1/2at^2)/t))+at = vf
 
Kennyh said:
what I got was ((xf-xi)-(1/2at^2)/t))+at = vf

vi*t = (vf - at)t = vf*t -a*t^2
 

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