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We know according to Lagrange's Mean Value Theorem , we have :

If a function is continuous in [a,b] and differentiable in (a , b) then there is a point x s.t :

f'(x)  =  [f(b) - f(a)] / [ b - a ]

So considering f'(x) as velocity here and f(x) as displacement here and time as x here , so we have :

Velocity at one point in the entire time interval = Slope

                                                                    = ( 280 - 0 ) / 8

                                                                    = 35 m/s

                                                                    = 35 * 18 / 5

                                                                    = 126 km / hr

Hence D) is the correct answer according to Lagrange's Mean Value Theorem..

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