how were these equations derived or found?(adsbygoogle = window.adsbygoogle || []).push({});

x = x_{o}+ v_{o}t + 1/2at^{2}

I tried to use v=(x_{f}-x_{i})/(t_{f}-t_{i}) and a=(v_{f}-v_{i})/(t_{f}-t_{i})

but I don't know where the 1/2 comes from

also this one:

v^{2}= v_{o}^{2}+ 2a(x_{f}-x_{i})

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# Linear motion equations

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