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**v = u + at**

This is the simplest equation. It can be used when displacement is not given, but if 3 variables among initial velocity, final velocity , acceleration and time are given.

**s = ut + ½at²**

This equation is most commonly used to solve problems involving falling objects.

**s = ½ (u+v) t**

This equation is used if acceleration is not known.

**v² = u² + 2as**

This equation is used when time is not given.

where

v = final velocity

u = initial velocity

a = acceleration

t = time taken

s = displacement

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Here is a simple explanation of how the above equations have been derived from velocity-time graphs using algebra.

For detailed explanations , motion graphs & problem solving, go to the physics classroom.

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