Question

Show that S = ut + ½ at2

for uniform accelerated motion by any method .​

Answer 1

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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