A box starting from rest, slides down an incline which makes an angle of θ above the horizontal. The incline has a maximum height of h above the platform on which it sits which is itself H above the ground. The box leaves the end of the ramp and platform's edge and falls to the ground. The box lands a distance R from the table. Find the coefficient of friction between the box and incline, and the total time t from the top of the incline to the floor.
θ = 30, h = 0.50 m, H = 2.0 m, R = 2.0 m