The lift hill should be curved at both the top & bottom, and should have a long straight section in the middle. The minecart rail should be able to reach the bottom of the vertical section.

Make the lift hill out of the same block as the rest of the track on your coaster - we have used the block that we have in order to make it easier to see during the tutorial.

Put a 12-tick (3 repeaters) delay after a piece of detector rail on the brake run leading up to the lift hill. At the end of that, put a command block down and leave it. We'll come back to it later.

Put a 4-tick delay after that command block, then a second command block. In it put the following command: "/effect @e[type=armor_stand, name = VerticalLiftHill] levitation 20 1 true"

Put a repeating (but still needs redstone) command block underneath the lift hill, and in it put the following command: "/execute @e[type=armor_stand, name =VerticalLiftHill] ~ ~ ~ tp @e[type=minecart, r=10] X-Coordinate ~ Z-Coordinate"

Where it says 'X-Coordinate' and 'Z-Coordinate', put the X and Z coordinates of where you want the minecart to be on the lift hill.

Coming back to the first command block that you placed down but left empty, put the coordinates for the block above you repeating command block in the format "/setblock X-Coordinate Y-Coordinate Z-Coordinate redstone_block" with 'X-Coordinate' 'Y-Coordinate' 'Z-Coordinate', put the X, Y, Z coordinates of the block above the repeating command block that you just placed down.

Put an armour stand two blocks beneath the bottom of the lift hill (as shown on the diagram), and name it 'VerticalLiftHill' using a name tag and an anvil.

Add a very long delay after the second command block that you placed down (we're using 60 ticks - 15 repeaters - in this example), and put a command block on the end of it.

In it put the following command: "/setblock X-Coordinate Y-Coordinate Z-Coordinate redstone_block" with 'X-Coordinate' 'Y-Coordinate' 'Z-Coordinate', put the X, Y, Z coordinates of the block above the repeating command block from earlier.

Put powered rail on top of barrier at the top of the lift hill, making sure that the block where the minecart will end up is sloped. Then power it with a redstone torch, making it invisible if you are using the Invisible Rails Creator Pack.

The length of all of the delays can be either shortened or lengthened to suit your ride. The amounts that we have displayed are correct for this height of lift hill, but your ride may use a taller or shorter lift hill.

Put a lift chain on using the Lift HIlls & Launches Creator Pack (a vertical lift chain is the 2x1 painting).

You can then make the armour stand invisible using the following command: "/effect @e[type=armor_stand, name=VerticalLiftHill] invisibility 99999 1 true".