To prove:
v^2 =u^2 + 2as
we have,
a = v-u/t
or, t= v- u/a......(i)
Again,
s = u + v /2*t...........( ii )
Substitutung the value of 't' from equation (i) in equation ( ii ) , we have,
s= (u+v/2) * ( v- u/a)
or, s=(v^2 - u^2) /2a
or, 2as = v^2 - u^2
therefore,
v^2= u^2 + 2as
proved...
hope this helps!!!!