Prove that s=ut+1/2 at^2
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Considering : u = intial velocity
v = final velocity
t = time
Area = 1/2(a+b)h
= 1/2(u+v)t
We know that area = distance = S
Now,
Putting v = u+at
S = 1/2(u+u+at)t
S = 1/2(2u+at)t
S = 1/2(2ut+at²)
S = 1/2×2ut+1/2at²
S = ut+1/2at²
Proved
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