Question

in what condition the first equation of motion use

Answer 1

First eq of motion and any of the three equations of motion can be used accordingly when u have values of any of them
1) s=ut+1/2at^2
2) v = u + at
3) v^2 - u^2 =2as

Main condition is acceleration should be constant and not variable
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Answer 2

acceleration must be constant for all the 3 equations of motion to get to work including the 1 st eqn.