Rearranging acceleration equations

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Homework Help Overview

The discussion revolves around rearranging constant-acceleration kinematic equations to express time and final velocity in terms of initial position, final position, initial velocity, and acceleration. Participants are exploring how to manipulate these equations to isolate specific variables.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are considering whether to solve for acceleration first and then substitute it into other equations. There are questions about which kinematic equations to use and how to rearrange them effectively to isolate the desired variables.

Discussion Status

Some participants have provided the standard kinematic equations, while others suggest specific rearrangements to express time and final velocity in terms of the other variables. Multiple interpretations of how to approach the problem are being explored, but no consensus has been reached.

Contextual Notes

Participants are working within the constraints of the kinematic equations and are questioning the relationships between the variables involved. There is an emphasis on ensuring that the equations are applied correctly without assuming any specific values or conditions.

gadawg90
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Starting from the constant-acceleration kinematic equations, write a formula that gives t in terms of xi, xf, vi, and vf.
do i solve for acceleration in a equation and then plug it in?




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

Do i solve one of the kinematic equations for Vi then plug that into another equation? i just don't know what equations and if that's right.
 
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First of all write down all the kinematic equations.
 
V = Vo + at

X - Xo = volt + .5at2

v2 = vo2 + 2a(X - Xo)

X - Xo = .5(Vo + V)t
 
The last equation can give you the time t in terms of xi. xf, vi and vf.
Similarly in the second equation putting vi = vf - at, and rearranging you can get vf in terms of xi, xf, a and t.
 

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