Kinematic Equations in One Dimension

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Kinematic Quantities:

ā = a

ˉv = v

v = vf+v0 / 2

v = ∆x / ∆t = xf-x0 / t

x = x0 + vt

a = ∆v / ∆t = vf-v0 / t

v = v0 + at

x = x0 + v0t + (1/2 * a * t^2)

v^2 = v0^2 + 2a(x - x0)

So…

Average velocity: vf+v0 / 2 (if a is constant)

Average velocity: v = ∆x/∆t

Average acceleration: a = ∆v / ∆t

Position from average velocity and time: x = x0 + vt

Instantaneous velocity from acceleration and time: v = v0 + at

Position from acceleration, initial velocity, and time: x = x0 + v0t + (1/2 * a * t^2)

Instantaneous velocity from acceleration and position: v^2 = v0^2 + 2a(x - x0)