Equations for Linear motion



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.




v = final velocity

u = initial velocity

a = acceleration

t = time taken

s = displacement



Read More:

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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