A particle is projected up along a rough inclined plane of inclination $45^{\circ}$ with the horizontal. If the coefficient of friction is $0.5$, the acceleration is : (g = Acceleration due to gravity)

Question

( A ) $\frac{g}{2}$
( B ) $\frac{g}{2\sqrt{2}}$
( C ) $\frac{g}{\sqrt{2}}$
( D ) $\frac{3g}{2\sqrt{2}}$