The Physics
Hypertextbook
Opus in profectus

Equations of Motion

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Summary

The equations of motion
traditional name equation relationship
1st equation v = v0 + at velocity-time
2nd equation s = s0 + v0t + ½at2 position-time
3rd equation v2 = v02 + 2a(s − s0) velocity-position
merton rule  = ½(v + v0) average velocity

Where

s0 =  initial position (the position at the beginning of some event)
s =  final position (the position 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)

Alternatively

Variation on the equations of motion
traditional name equation relationship
1st equation v = v0 + at velocity-time
2nd equation s = v0t + ½at2 displacement-time
3rd equation v2 = v02 + 2as velocity-displacement
merton rule  = ½(v + v0) average velocity

Where

s =  displacement (change in position)
v0 =  initial velocity
v =  final velocity
a =  acceleration
t =  time