Question

proof that, s= ut + 1/2 (at^2)

Answer 1

we know   v = u + a t
                 ds/dt = u + a t
we integrate wrt  t  on both sides

                s = u t + 1/2  a t²
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another way:
 
         v - u = a t 

avg speed = (iniitial + final speed)/2

distance travelled:  s = avg speed * time duration
  s = (v+u)/2  *  t
   s =(u + at + u) t /2
  s =  u t + 1/2 a t²

Answer 2

Answer:

correct bro ...........................