A 0.5 kg block slides from the point A on a horizontal track with an initial speed 3 ms'1 towards a weightless horizontal spring of length 1m and force constant 2N/m. The part AB of the track is frictionless and part BC has the coefficient of static and kinetic friction 0.22 and 0.20, respectively. If the distance AB and BD are 2m and 2.14m, respectively find the total distance through which the block moves before it comes to rest.[g = 10 ms'2]