A car starting from rest passes points L and M with speed v and reaches N with speed 2v on inclined planes with equal acceleration. What is ratio of displacement KL (s_1) to MN (s_2)?

1. KL: v^2 = 2as_1 -> s_1 = v^2 / 2a. 2. MN: (2v)^2 = v^2 + 2as_2 -> 3v^2 = 2as_2 -> s_2 = 3v^2 / 2a. 3. Ratio = 1/3.