A roller coaster is released from the top of a track that is 57 m high. Find the roller coaster speed when it reaches ground level.

Hi there!

Assuming the track is frictionless:

Cancel out the masses and rearrange to solve for velocity:

Plug in the given height and let g = 9.8 m/s²:

the kind of relationship between atmospheric  density and altitude is inverse relationship. this means a surge in either will cut the other factor. density is mass per unit volume, it is hard to compute with only altitude 1,291 kilometers given. also, we could also use temperature and pressure to resolve density but they are not delivered.