Derive following equations for a uniformly accelerated motion : (i) v=u+at (ii) S=ut+1/2 at^2 (iii) v^2=u^2+2aS where the symbols have their usual meanings.

Question

Derive following equations for a uniformly accelerated motion : (i) v=u+at (ii) S=ut+1/2 at^2 (iii)  v^2=u^2+2aS where the symbols have their usual meanings.

michellegrosscju · Accepted Answer

(1) Equation of Motion: V = u + atAcceleration = change in velocity/Time taken =&amp;gt; Acceleration = Final velocity-Initial velocity / time taken =&amp;gt; a = (v-u) /t =&amp;gt;at = v-u =&amp;gt;v = u + at This is the first equation of motion.(2) Equation of motion:  S  =  u  t  +      1    2    a      t    2  Distance = Average velocity X Time Average velocity = (u+v)/2Distance (t) =  fraction numerator u plus v over denominator 2 end fraction cross times t…….eq.