If the velocity of a body related to displacement x is given by v =...

We know that the rate of change of linear velocity is called linear acceleration, $a = \dfrac{dv}{dt} = \dfrac{dv \times dx}{dt \times dx} = \dfrac{vdv}{dx}$

$⇒ a = \sqrt{5000 + 24x} \times \dfrac{1}{2\sqrt{5000 + 24x}} \times 24$$= 12m{s}^{- 2}$.