show that s=ut + 1)2at square for uniform accelerated motion by any method
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Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let intial velocity of the object be u and the final velocity v.
- s=1/2t(u+v) -1
- from the veocity 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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