(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Velocity of object sliding down incline, given gravity and the incline's height

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