Motion Equations Formula Sheet - Interactive Physics Guide | The Physics Next

Formula Sheet: Motion Equations at a Glance

Created by Shaleen Shekhar; Content Writer at The Physics Next

v = u + at

Final velocity (v) equals initial velocity (u) plus acceleration (a) times time (t).

s = ut + ½at²

Displacement (s) equals initial velocity (u) times time (t) plus half acceleration (a) times time squared.

v² = u² + 2as

Final velocity squared equals initial velocity squared plus twice acceleration times displacement.

s = vt - ½at²

Displacement equals final velocity times time minus half acceleration times time squared.

s = (u + v)/2 × t

Displacement equals average velocity (initial + final velocity divided by 2) times time.

a = (v - u) / t

Acceleration equals change in velocity divided by time.

s = ut + at²/2

Alternative form: Displacement equals initial velocity times time plus half acceleration times time squared.

v = s / t

Average velocity equals displacement divided by time.

t = (v - u) / a

Time taken equals change in velocity divided by acceleration.

s = vt - ½at²

Displacement equals final velocity times time minus half acceleration times time squared.