Rearranging acceleration equations

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The discussion focuses on deriving formulas from the constant-acceleration kinematic equations to express time (t) and final velocity (vf) in terms of initial position (xi), final position (xf), initial velocity (vi), and acceleration (a). The key equations referenced include V = Vo + at, X - Xo = Vo*t + 0.5*a*t², and v² = Vo² + 2a(X - Xo). The last equation is particularly useful for calculating time (t) based on the given variables, while rearranging the second equation allows for expressing vf in terms of xi, xf, a, and t.

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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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