How far can I jump?

Question

Fairly frequently, I see a gap in Minecraft that I think I can make, so I go for it...and lose a couple hearts because I didn't. How far can you jump horizontally (or horizontally + 1-3 blocks down), so I know if I'm bad or just ill-equipped (in game).

Answer 1

Read the long explanation of my answer below, but here is a chart that summarizes how big of a gap you can jump along with how far you must fall to make the jump and the damage you will take (without mitigation). You must make a full running jump for this chart to apply:

Gap Width (Blocks)  Blocks fallen below jump level  Damage taken from fall
2                   none                            none
3                   2½                              1
4                   7½                              3½
5                   14½                             7
6                   23½                             11½ (death)

So without falling damage mitigation you can make a jump over a gap that is at most 5 blocks wide, after falling about 14 blocks down from the point where you make a running jump.

I will test this in-game at a later time to make sure this is realistic.

---

So this answer only works given a number of assumptions hold.

First assumption, Minecraft models gravity using a parabolic equation of the form y = a(x - h)^2 + k, where x is the size of the gap you want to jump and y is the height difference you will be after clearing the gap (negative indicates you are below the point you jumped). a is a tunable parameter that describes the rate at which you will fall (related to the constant of gravity). k is the highest you can jump from the ground in Minecraft and h is the horizontal distance you will have cleared while jumping that high after running forward.

Second assumption, that k (the height you can jump from the ground) is 1½ blocks and h (the horizontal distance you will have cleared at that height) is 1 block.

Third assumption, that horizontal momentum is preserved. Basically this means that you will travel at the same speed horizontally throughout the jump.

These three assumptions give the equation y = -(x - 1)^2 + 1½.

So let's say you want to jump a gap that is 2 blocks wide. To see how far down you must fall before making that jump, plug x = 2 into the equation and you get y = ½. This corresponds with being able to safely jump a gap that is 2 blocks wide with a running jump, and you will reach a block on the other side of the gap while being a little higher than ground level.

Falling damage is calculated as (number of blocks fallen x ½) - 1½. So, let's say you want to jump a gap that is 5 blocks wide. Plug x = 5 into the equation and you get y = -14½. This means you will reach jump a gap that is 5 blocks wide after falling 14½ blocks and taking about 7 hearts of damage.

Sprinting Added

You can jump significantly further with sprinting; at least three blocks horizontally. This answer assumes no sprinting but I will try to update it ASAP.

Answer 2

I have done an experiment and these are my results:

Without sprinting, the farthest you can get is 3 blocks if the entire surface is flat. Or if you are jumping up, the max is 2 blocks in length, 1 block in height.

If you are sprinting, the farthest you can reach on a flat platform is 5 blocks in length, but if you are jumping up 1 block in height, the max length is 4 blocks.

Hope you enjoy this!

Answer 3

This hasn't been posted on in awhile, but here is my answer, coming from a person who pretty much only plays Minecraft Parkour:

3 block is not possible without sprinting, however 2 and up 1 is possible with no sprinting.

As for with sprinting, a 3 block onto a trapdoor 2 blocks higher (A 3 up 1.18750) is possible. And a 4 block with 8 layers of snow (4 up 0.8750) is said to be possible, however I can only do 7 (4 up 0.750). If you have HH (Headhitter, or 2 block ceiling) and 2 blocks of momentum, you can make a 5 block or 4 up 1.

Lastly, with speed II, it is possible to do a 5 block and a 4 up 1 if you have momentum.

And just one more thing, you jump 1.20 blocks high without jump boost.

Answer 4

I believe if you sprint then you can jump 5 bocks (On a flat surface) and without sprinting, you can barely get 3

Answer 5

Something odd I have found is that you can jump a 3 block diagonal which should be equal to about 4.2 blocks. These seems to bring up the only viable reason being that the game registers the diagonal in Minecraft with a different formula then that of a non diagonal jump, or that the 4 blocks jumping forward is incorrect. I have not yet tested this with partially eaten sides of a cake however which is the easiest way to test the inbetween .5 jumps, or using cords. Lastly I would like to ask if this is a mechanic in the game intentionally designed where it will sort of give you the extra .2 blocks (app).

Answer 6

Almost infinite. Reason? Give yourself speed 99999999. Using the /effect command.

In actual logic, You can jump 7 blocks without any use of effects, using packed ice, trapdoors, and head hits, to gain enough momentum.

Answer 7

You can make a flat 5 block jump.

I have made a 4x3 jump before in game with no ice/slime/HH/potions/vertical momentum ie a flat 4x3 jump. 4x3 means I am jumping diagonally from the corner of one block to the corner of another block which are 4 blocks of air apart in one direction and 3 blocks of air apart in the other. The gap between these corners is exactly 5 blocks.

I believe the explanation is that since the player has a 0.6x0.6 hit box, you can jump off a block with some of your hit box hanging over the edge of the take-off block and land with only part of your hit box on the landing block. So, the actual distance the player moves is less than 5 blocks.

Despite this, since the distance between the corners of a 4x3 jump is exactly the same as the distance between the edges of a straight 5 block gap, in my opinion, this counts as a 5 block jump.

As a side note, I have not seen anyone make a flat, straight 5 block jump. I don't know why this is. If I had to guess I would say it is because you can overhang your hit box more on the corner of a block than the edge.

Answer 8

You can accually jump 5 blocks. Heres proof :