v= final velocity = [LT-¹]
u= initial velocity=[LT-¹]
a= acceleration =[LT-²]
s= distance= [L]
v²=u²+ 2as
=>v²-u²=2as
[LT-¹]²-[LT-¹]²=2[LT-²][L]
[L²T-²][L²T-²]=2[L²T-²]
2[L²T-²]=2[L²T-²]
Hence Proved