Looking at OP's images, if I read the unfamiliar tileset right, it won't work for several reasons:
1. It looks like the tile immediately above (that is, same x, y but different z-level) is a floor. Minecarts can't go through floors.
2. Dwarven push alone won't have enough speed to move minecart up an accelerating track/ramp on their own. An accelerating track/ramp has one or more wall/fortification connections and exactly one non-wall/fortification connection (which is the direction it accelerates in).
You can work around this by adding an accelerating ramp just before the accelerating ascending ramp (Usually looks something like wall-EW track/ramp-SW track ramp with wall to the south of last and minecart coming from east - though if you want it to be bidirectional, the SW ramp must be NSW with walls both north and south, as otherwise it'll turn into corner wall and stop).
Note that a non-accelerating track/ramp can be ascended, as long as it has wall connection (
Flash movie of ascending 47z off a single push).
@Large Wereroach: Descending ramps (that is, ramps on the tile immediately before lowering of z) are necessary at larger speeds, but in this case those speeds should not be present (though it is possible to cause jumps with dwarven push as well with untracked floor before hole).
@Loam: The upper track does not need to be EW. Any non-corner track floor tile works just as well as any other non-corner track floor tile.