Question

Derive the third equation of motion v^2 = u^2 + 2as numerically​

Answer 1

From 1st equation of motion,

                                             

                                             V = U + AT

                                            Therfore, V - U = AT 

We know that 

   

                     S = (U + V / 2 )×T

    

                   ∴ S/T = U + V / 2

                    ∴U + V = 2×S/T

                    ∴ U + V = 2S / T

So Substituting eq1 and eq2, 

       

                                 (V - U ) (V + U ) = AT ×2S/T

  

                                  ∴V² - U² = 2AS

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