The Physics
Hypertextbook
Opus in profectus

Equations of Motion

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Summary

One dimensional equations of motion for constant acceleration
traditional name equation relationship
1st equation v = v0 + at velocity-time
2nd equation x = x0 + v0t + ½at2 displacement-time
3rd equation v2 = v02 + 2a(x − x0) velocity-displacement
merton rule  = ½(v + v0) average velocity

Where…

x0 =  initial displacement (the displacement at the beginning of some event)
x =  final displacement (the displacement at the end of some event)
v0 =  initial velocity (the velocity at the beginning of some event)
v =  final velocity (the velocity at the end of some event)
a =  acceleration
t =  time (the duration of the event)