Question

Derive the equation for uniformly accelerated motion ising integration technique v=u+at

Answer 1

firstly you must realise that you can get velocity from the area of a acceleration time graph.

Hence we can say that the velocity is equal to the integral of acceleration in respects to t

From there you solve it and come to v=at+ c

And because v=u when t=0, you come to the conclusion that v= at + u

Answer 2

hey mate here is your answer
acceleration =v-u/t
a=v-u/t shift t in LHS
at=v-u shift -u in LHS
v=u+at
hope it's help you