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).
Minecraft – How far can I jump
minecraft-java-edition
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Best Answer
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:
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
, wherex
is the size of the gap you want to jump andy
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 andh
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 andh
(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 gety = 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. Plugx = 5
into the equation and you gety = -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.