Rearranging acceleration equations

[gadawg90]

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.

 

[rl.bhat]

First of all write down all the kinematic equations.

 

[gadawg90]

V = Vo + at

X - Xo = Vot + .5at2

v2 = vo2 + 2a(X - Xo)

X - Xo = .5(Vo + V)t

 

[rl.bhat]

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.