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Prove a=ut plus 1/2atsquare by integration method |
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Answer» (2) Second equation of motion:s = ut + 1/2 at^2sol.Let the distance travelled by the body be “s”.We know thatDistance = Average velocity X TimeAlso, Average velocity = (u+v)/2.: Distance (t) = (u+v)/2 X t …….eq.(1)Again we know that:v = u + atsubstituting this value of “v” in eq.(2), we gets = (u+u+at)/2 x t=>s = (2u+at)/2 X t=>s = (2ut+at^2)/2=>s = 2ut/2 + at^2/2or s = ut +1/2 at^2This is the 2nd equation of motion. Its not a=utIts s=ut+½at² |
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