A horizontal surface is partly smooth and partly rough. A particle is projected along the smooth part with speed u. After travelong a distance d, to rest. If `mu` is the coefficient of friction between particle and surface, the distance moved over the rough surface is:
A. `mud`
B. `(d)/(mu)`
C. `(u^(2))/(2mug)`
D. `d - (u^(2))/(mug)`