Movement speed
Movement speed is one of the player's stats and affects how quickly they can travel around. Many features can affect movement speed, such as Movement Accessories, Wings, Mounts, Minecarts and Liquids, along with certain Buffs, Debuffs, Armor and other hazards such as Ice Blocks and Cobwebs. Movement speed can be broken down into horizontal movement, which is the most affected component by most sources, and vertical movement, which is mostly affected by Wings and Movement Accessories.
Horizontal movement
All characters start with a horizontal movement speed of 11 tiles/second, or 15 mph (shown by the Stopwatch). While moving, the character will automatically climb any one-block high ledge or hill, and horizontal movement speed is not impeded by doing so (climbing over a pyramid is just as fast as tunneling through it). These values are ignoring the small amount of time it takes to accelerate from a standing position.
Horizontal movement speed can be further broken down into two separate speed stats, move speed and sprint speed. Most sources of horizontal movement purely effect move speed, but some, most notably wings and Sprinting accessories, effect sprint speed. The higher of the two stats determines the player's maximum horizontal movement speed. Having a higher sprint speed causes dust and a sound effect when approaching or at the player's maximum horizontal movement speed.
(Old-gen console and 3DS versions) Horizontal movement speed is capped at 1.6 × base speed, or +60%.
- Hooks reel in the player at a constant speed regardless of speed boosting accessories. The more movement speed boosts a player has, the less noticeable the speed boost a hook provided is.
Move speed
Object | Effect (% increase) |
Velocity (miles/hour) |
Velocity (tiles/sec) |
Velocity (pixels/tick[1]) |
---|---|---|---|---|
Base | ||||
Nothing from below | +0% | 15 | 11.36 | 3 |
Armor | ||||
Orichalcum Mask | +7% | +1.05 | +0.798 | +0.21 |
Orichalcum Helmet | +8% | +1.2 | +0.912 | +0.24 |
Cobalt Helmet | +10% | +1.5 | +0.798 | +0.3 |
Beetle Scale Mail | +6% | +0.9 | +0.684 | +0.18 |
Gi(Desktop, Console, Old-gen console and Mobile versions) | +10% | +1.5 | +0.798 | +0.3 |
Adamantite Leggings | +5% | +0.75 | +0.57 | +0.15 |
Chlorophyte Greaves | +5% | +0.75 | +0.57 | +0.15 |
Titanium Leggings | +6% | +0.9 | +0.684 | +0.18 |
Beetle Leggings | +6% | +0.9 | +0.684 | +0.18 |
Hallowed Greaves | +8% | +1.2 | +0.912 | +0.24 |
Frost Leggings | +8% | +1.2 | +0.912 | +0.24 |
Spectre Pants | +8% | +1.2 | +0.912 | +0.24 |
Cobalt Leggings | +10% | +1.5 | +0.798 | +0.3 |
Nebula Leggings(Desktop, Console and Mobile versions) | +10% | +1.5 | +0.798 | +0.3 |
Vortex Leggings(Desktop, Console and Mobile versions) | +10% | +1.5 | +0.798 | +0.3 |
Orichalcum Leggings | +11% | +1.65 | +1.254 | +0.33 |
Shroomite Leggings | +12% | +1.8 | +1.368 | +0.36 |
Solar Flare Leggings(Desktop, Console and Mobile versions) | +15% | +2.25 | +1.71 | +0.45 |
Squire's Greaves(Desktop, Console and Mobile versions) | +15% | +2.25 | +1.71 | +0.45 |
Huntress's Pants(Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Monk's Pants(Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Red Riding Leggings(Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Crystal Assassin Pants(Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Spooky Leggings (Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Valhalla Knight's Greaves(Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Moon Lord Legs(Desktop, Console and Mobile versions) | +25% | +3.75 | +2.85 | +0.75 |
Shinobi Infiltrator's Pants(Desktop, Console and Mobile versions) | +30% | +4.5 | +3.408 | +0.9 |
Shadow armor / Ancient Shadow armor: Full set (Desktop, Console and Mobile versions) | x1.15 | |||
Shadow armor / Ancient Shadow armor: Full set (Old-gen console and 3DS versions) | +15% | +2.25 | +1.71 | +0.45 |
Adamantite armor: Full set with Helmet | +20% | +3 | +2.28 | +0.6 |
Hallowed armor: Full set with Mask (Old-gen console and 3DS versions) | +27% | +4.8 | +2.85 | +0.96 |
Vortex armor(Desktop, Console and Mobile versions): Full set while in stealth | x0.3 | |||
Accessories | ||||
Aglet | +5% | +0.75 | +0.57 | +0.15 |
Soaring Insignia(Desktop, Console and Mobile versions) | +7.5% | +1.125 | +0.855 | +0.225 |
Lightning Boots | +8% | +1.2 | +0.912 | +0.24 |
Frostspark Boots | +8% | +1.2 | +0.912 | +0.24 |
Terraspark Boots(Desktop, Console and Mobile versions) | +8% | +1.2 | +0.912 | +0.24 |
Anklet of the Wind | +10% | +1.5 | +0.798 | +0.3 |
Magiluminescence(Desktop, Console and Mobile versions) | x1.15 | |||
Ice Skatesor its upgrades (on Ice) | x1.25 | |||
Flying Carpet (in use) | x1.5 | |||
Dunerider Boots(Desktop, Console and Mobile versions) (on Sand) | x1.75 | |||
Buffs | ||||
Werewolf (buff) | +5% | +0.75 | +0.57 | +0.15 |
Well Fed | +20% | +3 | +2.28 | +0.6 |
Sugar Rush(Desktop, Console and Mobile versions) | +20% | +3 | +2.28 | +0.6 |
Happy!(Desktop, Console and Mobile versions) | +21% | +3.15 | +2.386 | +0.63 |
Happy! also applies a x1.1 multiplier to all buffs to the left of it in the buff list | ||||
Swiftness | +25% | +3.75 | +2.85 | +0.75 |
Plenty Satisfied(Desktop, Console and Mobile versions) | +30% | +4.5 | +3.408 | +0.9 |
Exquisitely Stuffed(Desktop, Console and Mobile versions) | +40% | +6 | +4.56 | +1.2 |
Panic! | +100% | +15 | +11.4 | +3 |
Blocks | ||||
Asphalt Block | x3.5 | |||
Debuffs | ||||
Weak | -10% | -1.5 | -1.14 | -0.3 |
Chilled | x0.75 | |||
Burning | x0.5 | |||
Slow | x0.5 | |||
Oozed(Desktop, Console and Mobile versions) | x0.33 | |||
Modifiers | ||||
Brisk | +1% | +0.15 | +0.114 | +0.03 |
Fleeting | +2% | +0.3 | +0.228 | +0.06 |
Hasty | +3% | +0.45 | +0.342 | +0.09 |
Quick | +4% | +0.6 | +0.456 | +0.12 |
- Modifiers are only applicable to accessories. 5 / 6 / 7 accessories may have these modifiers, meaning +20% / +24% / +28% horizontal speed possible. Only one of these modifiers may be applied at a time. (See: Reforging)
- All multipliers are calculated after additive effects, i.e. wearing an Anklet of the Wind (+10%) and a Magiluminescence (x1.15) will give an overall bonus of +26.5%, not +25%.
Sprint speed
Object | Sprint speed (miles/hour) |
Sprint speed (tiles/sec) |
Sprint speed (pixels/tick[1]) |
---|---|---|---|
Hermes Boots | 30 | 22 | 6 |
Spectre Boots | 30 | 22 | 6 |
Amphibian Boots(Desktop, Console and Mobile versions) | 30 | 22 | 6 |
Dunerider Boots(Desktop, Console and Mobile versions) | 30 | 22 | 6 |
Dunerider Boots(Desktop, Console and Mobile versions) (on sand) | 50.25 | 36.85 | 10.5 |
Flurry Boots | 30 | 22 | 6 |
Sailfish Boots(Desktop, Console and Mobile versions) | 30 | 22 | 6 |
Hellfire Treads(Desktop, Console and Mobile versions) | 30 | 22 | 6 |
Lightning Boots | 33.75 | 24.75 | 6.75 |
Frostspark Boots | 33.75 | 24.75 | 6.75 |
Terraspark Boots(Desktop, Console and Mobile versions) | 33.75 | 24.75 | 6.75 |
Magiluminescence(Desktop, Console and Mobile versions) | x1.15 | ||
Shadow armor / Ancient Shadow armor: Full set (Desktop, Console and Mobile versions) | x1.15 |
- Since boots set sprint speed instead of adding to it, stacking multiple boot accessories will not increase sprint speed. In fact, the lowest boot in the player's accessory slots will be what determines sprint speed, for example if the player equips Hermes Boots (30mph) beneath Lightning Boots (34mph) they will have a sprint speed of 30 mph, instead of 34mph. This does not impact wings since only one pair can be equipped at once.
- Wings also use sprint speed, but only when airborne. This only overrides the player's grounded sprint speed if it is higher. See the wings page for more information on specific wings.
Vertical movement
Upward movement
There are two quantities that play a role when dealing with vertical upward movement: jump duration and jump speed. Together, they describe jump reach, the maximum number of tiles that a character can ascend with a jump. All characters have a base jump duration of 15 and a base jump speed of 5.01,[2] granting them a base jump reach of 6.27 tiles.
A jump in Terraria consists of two phases: First, the character steadily ascends with a fixed velocity, and then slows down their ascension rate until coming to a stop when reaching the peak of the jump.
- The first phase lasts for
ticks[1], i.e. 16 ticks (0.267 seconds) for default characters, though releasing the ↷ Jump key will terminate it prematurely – hence, in order to acquire the maximum possible jump reach, the ↷ Jump key must be held for the entire duration of the first phase. The velocity during this phase is equal to jump speed (in pixels/tick) minus gravity (0.4 by default, below the Space layer), i.e. 17.2875 tiles/second for default characters; it is acquired instantly when starting the jump and it is not altered until the first phase is completed.jump duration + 1
- The second phase begins when jump duration has been exhausted: The character is now normally only subject to gravity, which will linearly reduce their velocity. The phase is terminated when the character's velocity becomes zero and they have reached the peak of their jump.
It can be seen that while jump duration affects for how long the character surmounts gravity and moves upward, jump speed dictates the character's velocity during their ascent.
With this information, jump reach for any given combination of jump duration, jump speed, and gravity can be calculated:
[math]\displaystyle{ \text{jump reach} = (\text{jump duration}+1) * (\text{jump speed}-\text{gravity}) + \frac{\text{gravity}}{2} * (\frac{\text{jump speed}}{\text{gravity}}-1)^2 }[/math]
The two summands here represent the two phases of the jump, as described above.
The base jump reach of all characters can be determined by inserting the default values into the formula:
[math]\displaystyle{ \text{base jump reach} = (15+1) * (5.01-0.4) + \frac{0.4}{2} * (\frac{5.01}{0.4}-1)^2 \approx 100.33 }[/math]
The result value is in pixels; dividing it by 16 gives the number of tiles:
[math]\displaystyle{ \text{base jump reach}_{\text{tiles}} = \frac{100.33}{16} \approx 6.27 }[/math]
Boosts
The following table lists all items that have an effect on jump duration and/or jump speed.[3] Items that are listed in the same row do not stack with each other.
Items | Jump duration |
Jump speed |
Resulting jump reach[4] |
---|---|---|---|
Balloons | 20 | 6.51 | 10.94 tiles (+74.48%) |
|
n/a | +1.8 | 10.85 tiles (+53.43%) |
Frog Leg | n/a | +1.6 | 9.22 tiles (+47.05%) |
Amphibian Boots(Desktop, Console and Mobile versions) | n/a | +1.6 | 9.22 tiles (+47.05%) |
Frog Flipper(Desktop, Console and Mobile versions) | n/a | +1.6 | 9.22 tiles (+47.05%) |
Frog Gear(Desktop, Console and Mobile versions) | n/a | +1.6 | 9.22 tiles (+47.05%) |
Frog Webbing(Desktop, Console and Mobile versions) | n/a | +1.6 | 9.22 tiles (+47.05%) |
|
+1 | +1.8 | 10.02 tiles (+59.81%) |
Werewolf (buff) (
|
+2 | +0.2 | 7.22 tiles (+15.15%) |
Step Stool(Desktop, Console and Mobile versions)(when in use) | +5 | n/a | 7.71 tiles (+22.97%) |
Being atop Honey Blocks (applied after all other effects)
|
-90% | -80% | 0.12 tiles (-98.09%) |
The maximum possible jump reach is 42.43 tiles (+576.71% in total), attainable by equipping one of the accessories from each row above (e.g. a Shiny Red Balloon, the Soaring Insignia, a Frog Leg, a Frog Flipper, a Frog Webbing, a Frog Gear, and the Moon Lord Legs).
Multiple jumps
Usually, a character may only perform a single jump and will need to stand on a surface again before pressing the ↷ Jump button causes the character to ascend again. However, certain items grant the ability to perform another jump mid-air which is functionally identical to the regular jump described above. These items set an own jump duration for their respective jump.
Downward movement
Characters falling downward constantly accelerate with 30 tiles/second², but falling speed is capped at 37.5 tiles/second (or 51 mph). However, both of these values may be modified by certain items, buffs, and environmental factors.
Medium movement
There are currently 4 mediums in the game other than air: Water, Lava, Cobwebs, and Honey. They all have slowing effects on movement compared to that of air. All wings also reduce fall speed compared to that of air.
Medium(s) | Effect (% decrease) |
Velocity (blocks/sec) |
Velocity (feet/sec) |
---|---|---|---|
No Medium | None | ~11.36 | ~22.72 |
Water | -33% | ~7.86 | ~15.72 |
Lava | -33% | ~7.86 | ~15.72 |
Cobweb | -93.65% | ~0.67 | ~1.34 |
Water & Cobweb | -96.82% | ~0.45 | ~0.9 |
- Note that the Fishron Wings dropped by Duke Fishron increase movement speed in all liquids.
Maximizing speed
Horizontal speed
On the Desktop version, Console version, and Mobile version, the maximum horizontal speed possible, as measured by the stopwatch, is 279 mph, achieved by using these items/buffs, and following this process:
- Equip all following items, and apply all buffs except Panic! and Happy!.
- Trigger the Panic! buff and enter the runway area with the Happy! buff. Make sure that among all buffs that affect movement speed, the Happy! buff is at the rightmost buff slot.
- Items and buffs
- Cobalt Helmet
- Gi
- Shinobi Infiltrator's Pants
- Anklet of the Wind(Quick)
- Moon Charm(Quick, at night)
- Frostspark Boots(Quick)
- Lightning Boots(Quick)
- Magiluminescence(Quick)
- Soaring Insignia(Quick)
- Terraspark Boots(Quick)
- Panic Necklace(swap off after gaining the Panic! buff)
- Asphalt Blocks(runway)
- Exquisitely Stuffed(from certain food items)
- Happy!(from Sunflower)
- Sugar Rush(from the Slice of Cake)
- Swiftness(from the Swiftness Potion)
Vertical speed
On the Desktop version, Console version, and Mobile version, the maximum stable ascend speed (i.e. the speed remains the same when ascending) possible is 306 mph, achieved by using the following items. Note that the Celestial Starboard's boost effect should be suspended after speeding up, otherwise the speed will be capped at 205 mph.
For the maximum instantaneous speed, use the same loadout as above, and mount the Gelatinous Pillion after reaching maximum speed. This will further increase the speed to about 570 mph briefly. However, by using the Inner Tube, the player can theoretically achieve infinite speed.
The maximum falling speed is 179 mph, achieved by holding a Portal Gun.
References
- ↑ 1.0 1.1 1.2 A tick is a time unit countable by the software. Most of Terraria's updating logic happens every tick. A tick has the length of 1/60th of a second, hence there are 60 ticks in a second and 3600 ticks in a minute.
- ↑ Information taken from the Desktop 1.4.0.5 source code, method
Update()
inTerraria.Player.cs
. There may be inaccuracies, as the current Desktop version is 1.4.4.9. - ↑ Information taken from the Desktop 1.4.2 source code, method
UpdateJumpHeight()
inTerraria.Player.cs
. There may be inaccuracies, as the current Desktop version is 1.4.4.9. - ↑ Assuming gravity is default and no boosts other than the one of the respective row are in effect (use the formula above for multiple boosts). The increase in percent is referring to the increase from base jump reach (6.27 tiles).