A particle with mass m slips down on track ABC in the figure. Segment AB of the track is rough, while segment BC is smooth. The initial velocity of the particle in point A is zero. Data: R = 10 [m]; α = 60∘; m = 2 [kg]; μBc = 0,1; Δh2 = 6 [m]; g = 9,81 [m/s2]. a, Calculate the magnitude of the velocity of the particle in point B. b, Calculate the magnitude of the velocity of the particle in point C. c, Calculate the elapsed time between the B and C positions of the particle.