1. The problem statement, all variables and given/known data a cart slides down an iced incline that is 159m high. initial speed is 0m/s acceleration of gravity is 9.8 m/s^2 neglect friction, air resistance determine carts speed at the bottom of the hill 2. Relevant equations v = u + at, but no time is mentioned v^2 = u^2 + 2ah, if i treat it like freefall 3. The attempt at a solution i don't hardly know where to start with this one, my first instinct was to break the two-dimensional motion into component vectors. but then i realised i don't have the length of the incline or even the angle of the incline, only the height. i don't have any notion of time either, so i can't use v = u + at i could treat it like freefall and use v^2 = u^2 + 2ah v = sqrt(u^2 + 2ah), u = 0 v = sqrt((2)(9.8)(159)) v = 55.82 m/s but i don't believe i can treat it like freefall, because aren't you supposed to be able to break up two-dimensional velocity into vectors that are completely independent of each other? and i believe the question is asking for the v in the x direction. i'm not asking for an answer, i need to understand how to do it myself. but i don't think i'm approaching this problem with the right process. I think i just need a nudge in the right direction. Thank you.