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Prove that S=at + 1/2at^2

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Prove that S=at + 1/2at^2
  • 1 answers

Antusha Biswad 3 years, 1 month ago

(First draw the diagram. Here the link to it below) https://pin.it/1fSSKZa AO= u (initial velocity) BC= v (finial velocity) CO= t (time) BD= BC-DC = v-u S= area under the graph (which is the trapezium AOCB or the Rectangle AOCD + ∆ABD) (Area of rectangle is L x B and area of triangle is 1/2 x base x height) S= area of rectangle AOCD + area of ∆ABD S= OA x OC + 1/2 x t x v-u S= u x t + 1/2 x t x (v-u) (From equation 1- v=u + at v-u=at) Put the value of (v-u) from equation 1. S= ut+1/2 x t x at S= ut+1/2 x at² S=ut + 1/2 at² Hence, proved
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