The velocity v of a moving particle varies with displacement as $X=\sqrt{v+1},$the acceleration of the
particle at x = 5 unit will be-
 

$$\begin{gathered} x=\sqrt{v+1}\Rightarrow x^2=v+1\Rightarrow v=x^2-1\Rightarrow \frac{dv}{dx}=2x \\ \text{ Now acceleration }a=v\frac{dv}{dx} \\ =\left(x^2-1\right)\cdot 2X \\ \text{ This is the acceleration at position }x\text{. } \\ \text{ Now at }\mathrm{x}=5\text{ unit, } \\ \mathrm{a}=(25-1)(2\times 5)=240\text{ unit } \end{gathered}$$