Question

Derive the expression S=ut + 12 at^2​

Answer 1

Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let initial velocity of the object be u and final velocity v.

s=1/2t(u+v) -1

From the velocity relation

v=u+at-2

Substitute 1 in 2

s=1/2t(u+u+at)

=1/2t(2u+at)

s=ut+1/2at^2

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